4678641456300 has 864 divisors, whose sum is σ = 17929463552000. Its totient is φ = 1046192837760.

The previous prime is 4678641456289. The next prime is 4678641456311. The reversal of 4678641456300 is 36541468764.

4678641456300 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 64 + 14 + 563 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4678641456289) and next prime (4678641456311).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2045753757 + ... + 2045756043.

Almost surely, 2^{4678641456300} 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 4678641456300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964731776000).

4678641456300 is an abundant number, since it is smaller than the sum of its proper divisors (13250822095700).

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

4678641456300 is a wasteful number, since it uses less digits than its factorization.

4678641456300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4678641456300 in words is "four trillion, six hundred seventy-eight billion, six hundred forty-one million, four hundred fifty-six thousand, three hundred".