78494717952 has 480 divisors, whose sum is σ = 279697017600. Its totient is φ = 21444673536.

The previous prime is 78494717927. The next prime is 78494717963. The reversal of 78494717952 is 25971749487.

78494717952 is a `hidden beast` number, since 7 + 8 + 49 + 471 + 79 + 52 = 666.

It is a super-2 number, since 2×78494717952² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78494717952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26706499 + ... + 26709437.

It is an arithmetic number, because the mean of its divisors is an integer number (582702120).

Almost surely, 2^78494717952 is an apocalyptic number.

78494717952 is a gapful number since it is divisible by the number (72) 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 78494717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139848508800).

78494717952 is an abundant number, since it is smaller than the sum of its proper divisors (201202299648).

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

78494717952 is a wasteful number, since it uses less digits than its factorization.

78494717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2974 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 78494717952 in words is "seventy-eight billion, four hundred ninety-four million, seven hundred seventeen thousand, nine hundred fifty-two".