78353297568 has 1152 divisors, whose sum is σ = 312774981120. Its totient is φ = 18513100800.

The previous prime is 78353297521. The next prime is 78353297593. The reversal of 78353297568 is 86579235387.

78353297568 is a `hidden beast` number, since 7 + 8 + 3 + 532 + 97 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×78353297568² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1284480258 + ... + 1284480318.

It is an arithmetic number, because the mean of its divisors is an integer number (271506060).

Almost surely, 2^78353297568 is an apocalyptic number.

78353297568 is a gapful number since it is divisible by the number (78) 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 78353297568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156387490560).

78353297568 is an abundant number, since it is smaller than the sum of its proper divisors (234421683552).

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

78353297568 is a wasteful number, since it uses less digits than its factorization.

78353297568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 134 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 78353297568 in words is "seventy-eight billion, three hundred fifty-three million, two hundred ninety-seven thousand, five hundred sixty-eight".