78189531264 has 384 divisors, whose sum is σ = 264862241280. Its totient is φ = 21910487040.

The previous prime is 78189531227. The next prime is 78189531311. The reversal of 78189531264 is 46213598187.

78189531264 is a `hidden beast` number, since 7 + 8 + 1 + 89 + 531 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78189531264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78189531264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7887399 + ... + 7897305.

It is an arithmetic number, because the mean of its divisors is an integer number (689745420).

Almost surely, 2^78189531264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78189531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132431120640).

78189531264 is an abundant number, since it is smaller than the sum of its proper divisors (186672710016).

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

78189531264 is a wasteful number, since it uses less digits than its factorization.

78189531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9973 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 78189531264 in words is "seventy-eight billion, one hundred eighty-nine million, five hundred thirty-one thousand, two hundred sixty-four".