78683686502400 has 1632 divisors, whose sum is σ = 349843556436480. Its totient is φ = 16925778247680.

The previous prime is 78683686502371. The next prime is 78683686502539. The reversal of 78683686502400 is 420568638687.

78683686502400 is a `hidden beast` number, since 7 + 8 + 6 + 8 + 3 + 6 + 86 + 502 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×78683686502400² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 5264171727 + ... + 5264186673.

Almost surely, 2^{78683686502400} is an apocalyptic number.

78683686502400 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 78683686502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174921778218240).

78683686502400 is an abundant number, since it is smaller than the sum of its proper divisors (271159869934080).

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

78683686502400 is a wasteful number, since it uses less digits than its factorization.

78683686502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 78683686502400 in words is "seventy-eight trillion, six hundred eighty-three billion, six hundred eighty-six million, five hundred two thousand, four hundred".