78352529048640 has 2240 divisors, whose sum is σ = 352706586236928. Its totient is φ = 16037720064000.

The previous prime is 78352529048617. The next prime is 78352529048671. The reversal of 78352529048640 is 4684092525387.

78352529048640 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 2 + 529 + 0 + 48 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×78352529048640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 99558486327 + ... + 99558487113.

Almost surely, 2^{78352529048640} is an apocalyptic number.

78352529048640 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 78352529048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176353293118464).

78352529048640 is an abundant number, since it is smaller than the sum of its proper divisors (274354057188288).

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

78352529048640 is a wasteful number, since it uses less digits than its factorization.

78352529048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 78352529048640 in words is "seventy-eight trillion, three hundred fifty-two billion, five hundred twenty-nine million, forty-eight thousand, six hundred forty".