4625952617664 has 252 divisors, whose sum is σ = 15735710031184. Its totient is φ = 1321699908096.

The previous prime is 4625952617579. The next prime is 4625952617687. The reversal of 4625952617664 is 4667162595264.

It is a happy number.

4625952617664 is a `hidden beast` number, since 4 + 6 + 2 + 5 + 9 + 5 + 2 + 617 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2152422 + ... + 3726234.

Almost surely, 2^{4625952617664} 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 4625952617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867855015592).

4625952617664 is an abundant number, since it is smaller than the sum of its proper divisors (11109757413520).

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

4625952617664 is an frugal number, since it uses more digits than its factorization.

4625952617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573856 (or 1573825 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 4625952617664 in words is "four trillion, six hundred twenty-five billion, nine hundred fifty-two million, six hundred seventeen thousand, six hundred sixty-four".