78641006400 has 252 divisors, whose sum is σ = 304919201184. Its totient is φ = 19064448000.

The previous prime is 78641006377. The next prime is 78641006413. The reversal of 78641006400 is 460014687.

78641006400 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 1 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89836 + ... + 406635.

Almost surely, 2^78641006400 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 78641006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152459600592).

78641006400 is an abundant number, since it is smaller than the sum of its proper divisors (226278194784).

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

78641006400 is a wasteful number, since it uses less digits than its factorization.

78641006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496510 (or 496492 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 78641006400 in words is "seventy-eight billion, six hundred forty-one million, six thousand, four hundred".