78364693693440 has 3520 divisors, whose sum is σ = 374078164889088. Its totient is φ = 15312869130240.

The previous prime is 78364693693427. The next prime is 78364693693453. The reversal of 78364693693440 is 4439639646387.

78364693693440 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 4 + 6 + 93 + 6 + 93 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (78364693693427) and next prime (78364693693453).

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×78364693693440² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65687085484 + ... + 65687086676.

Almost surely, 2^{78364693693440} is an apocalyptic number.

78364693693440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78364693693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187039082444544).

78364693693440 is an abundant number, since it is smaller than the sum of its proper divisors (295713471195648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78364693693440 is a wasteful number, since it uses less digits than its factorization.

78364693693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 72.

The spelling of 78364693693440 in words is "seventy-eight trillion, three hundred sixty-four billion, six hundred ninety-three million, six hundred ninety-three thousand, four hundred forty".