78464597944320 has 3072 divisors, whose sum is σ = 366828134400000. Its totient is φ = 15471696936960.

The previous prime is 78464597944273. The next prime is 78464597944429. The reversal of 78464597944320 is 2344979546487.

78464597944320 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 4 + 597 + 9 + 4 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19378757656 + ... + 19378761704.

It is an arithmetic number, because the mean of its divisors is an integer number (119410200000).

Almost surely, 2^{78464597944320} is an apocalyptic number.

78464597944320 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 78464597944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183414067200000).

78464597944320 is an abundant number, since it is smaller than the sum of its proper divisors (288363536455680).

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

78464597944320 is a wasteful number, since it uses less digits than its factorization.

78464597944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 78464597944320 in words is "seventy-eight trillion, four hundred sixty-four billion, five hundred ninety-seven million, nine hundred forty-four thousand, three hundred twenty".