4642919568000 has 2048 divisors, whose sum is σ = 20292000768000. Its totient is φ = 1021483008000.

The previous prime is 4642919567987. The next prime is 4642919568019. The reversal of 4642919568000 is 8659192464.

4642919568000 is a `hidden beast` number, since 4 + 64 + 2 + 9 + 19 + 568 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4642919568000² (a number of 26 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 9456047755 + ... + 9456048245.

It is an arithmetic number, because the mean of its divisors is an integer number (9908203500).

Almost surely, 2^{4642919568000} is an apocalyptic number.

4642919568000 is a gapful number since it is divisible by the number (40) 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 4642919568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146000384000).

4642919568000 is an abundant number, since it is smaller than the sum of its proper divisors (15649081200000).

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

4642919568000 is a wasteful number, since it uses less digits than its factorization.

4642919568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4642919568000 in words is "four trillion, six hundred forty-two billion, nine hundred nineteen million, five hundred sixty-eight thousand".