78573264000 has 768 divisors, whose sum is σ = 330650087040. Its totient is φ = 16321536000.

The previous prime is 78573263939. The next prime is 78573264001. The reversal of 78573264000 is 46237587.

It is a super-2 number, since 2×78573264000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78573264001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25870482 + ... + 25873518.

Almost surely, 2^78573264000 is an apocalyptic number.

78573264000 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 78573264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165325043520).

78573264000 is an abundant number, since it is smaller than the sum of its proper divisors (252076823040).

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

78573264000 is a wasteful number, since it uses less digits than its factorization.

78573264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 78573264000 in words is "seventy-eight billion, five hundred seventy-three million, two hundred sixty-four thousand".