78737564505600 has 7200 divisors, whose sum is σ = 416435225606400. Its totient is φ = 14307640934400.

The previous prime is 78737564505571. The next prime is 78737564505617. The reversal of 78737564505600 is 650546573787.

It is a happy number.

78737564505600 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 7 + 5 + 64 + 5 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 719 ways as a sum of consecutive naturals, for example, 4144082342391 + ... + 4144082342409.

Almost surely, 2^{78737564505600} is an apocalyptic number.

78737564505600 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 78737564505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208217612803200).

78737564505600 is an abundant number, since it is smaller than the sum of its proper divisors (337697661100800).

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

78737564505600 is an equidigital number, since it uses as much as digits as its factorization.

78737564505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 78737564505600 in words is "seventy-eight trillion, seven hundred thirty-seven billion, five hundred sixty-four million, five hundred five thousand, six hundred".