78463032861600 has 216 divisors, whose sum is σ = 276708387615660. Its totient is φ = 20921349058560.

The previous prime is 78463032861589. The next prime is 78463032861649. The reversal of 78463032861600 is 616823036487.

78463032861600 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 3 + 0 + 3 + 28 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32670689725584 + 45792343136016 = 5715828^2 + 6767004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70940022 + ... + 72037578.

Almost surely, 2^{78463032861600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78463032861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138354193807830).

78463032861600 is an abundant number, since it is smaller than the sum of its proper divisors (198245354754060).

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

78463032861600 is a wasteful number, since it uses less digits than its factorization.

78463032861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107512 (or 1107496 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 78463032861600 in words is "seventy-eight trillion, four hundred sixty-three billion, thirty-two million, eight hundred sixty-one thousand, six hundred".