78476114304000 has 1408 divisors, whose sum is σ = 332356249405440. Its totient is φ = 17890025472000.

The previous prime is 78476114303971. The next prime is 78476114304037. The reversal of 78476114304000 is 40341167487.

78476114304000 is a `hidden beast` number, since 7 + 8 + 47 + 61 + 143 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9604219915 + ... + 9604228085.

Almost surely, 2^{78476114304000} is an apocalyptic number.

78476114304000 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 78476114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166178124702720).

78476114304000 is an abundant number, since it is smaller than the sum of its proper divisors (253880135101440).

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

78476114304000 is a wasteful number, since it uses less digits than its factorization.

78476114304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 78476114304000 in words is "seventy-eight trillion, four hundred seventy-six billion, one hundred fourteen million, three hundred four thousand".