4564974626640 has 400 divisors, whose sum is σ = 17114678697600. Its totient is φ = 1124246559744.

The previous prime is 4564974626609. The next prime is 4564974626753. The reversal of 4564974626640 is 466264794654.

It is a happy number.

4564974626640 is a `hidden beast` number, since 4 + 5 + 6 + 497 + 46 + 2 + 66 + 40 = 666.

It is a congruent number.

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, 3794071 + ... + 4850249.

It is an arithmetic number, because the mean of its divisors is an integer number (42786696744).

Almost surely, 2^{4564974626640} is an apocalyptic number.

4564974626640 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 4564974626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557339348800).

4564974626640 is an abundant number, since it is smaller than the sum of its proper divisors (12549704070960).

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

4564974626640 is a wasteful number, since it uses less digits than its factorization.

4564974626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056256 (or 1056241 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 4564974626640 in words is "four trillion, five hundred sixty-four billion, nine hundred seventy-four million, six hundred twenty-six thousand, six hundred forty".