78964521840 has 720 divisors, whose sum is σ = 298022639616. Its totient is φ = 19399564800.

The previous prime is 78964521833. The next prime is 78964521877. The reversal of 78964521840 is 4812546987.

It is a happy number.

78964521840 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 452 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 374239335 + ... + 374239545.

Almost surely, 2^78964521840 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 78964521840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149011319808).

78964521840 is an abundant number, since it is smaller than the sum of its proper divisors (219058117776).

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

78964521840 is a wasteful number, since it uses less digits than its factorization.

78964521840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 78964521840 in words is "seventy-eight billion, nine hundred sixty-four million, five hundred twenty-one thousand, eight hundred forty".