4627264576 has 63 divisors (see below), whose sum is σ = 10105935973. Its totient is φ = 2100581120.

The previous prime is 4627264571. The next prime is 4627264589. The reversal of 4627264576 is 6754627264.

The square root of 4627264576 is 68024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 294465600 + 4332798976 = 17160^2 + 65824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4627264571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5985726 + ... + 5986498.

Almost surely, 2^4627264576 is an apocalyptic number.

4627264576 is the 68024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4627264576

4627264576 is an abundant number, since it is smaller than the sum of its proper divisors (5478671397).

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

4627264576 is an frugal number, since it uses more digits than its factorization.

4627264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 786 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

The cubic root of 4627264576 is about 1666.3828118897.

Multiplying 4627264576 by its sum of digits (49), we get a square (226735964224 = 476168²).

The spelling of 4627264576 in words is "four billion, six hundred twenty-seven million, two hundred sixty-four thousand, five hundred seventy-six".