4678032157344 has 480 divisors, whose sum is σ = 17171429780736. Its totient is φ = 1216385372160.

The previous prime is 4678032157327. The next prime is 4678032157493. The reversal of 4678032157344 is 4437512308764.

4678032157344 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 0 + 3 + 21 + 573 + 44 = 666.

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 79 ways as a sum of consecutive naturals, for example, 16607244 + ... + 16886580.

Almost surely, 2^{4678032157344} 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 4678032157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585714890368).

4678032157344 is an abundant number, since it is smaller than the sum of its proper divisors (12493397623392).

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

4678032157344 is a wasteful number, since it uses less digits than its factorization.

4678032157344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279450 (or 279433 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4678032157344 in words is "four trillion, six hundred seventy-eight billion, thirty-two million, one hundred fifty-seven thousand, three hundred forty-four".