4632624676560 has 160 divisors (see below), whose sum is σ = 14670855148032. Its totient is φ = 1208739041280.

The previous prime is 4632624676541. The next prime is 4632624676571. The reversal of 4632624676560 is 656764262364.

It is a super-2 number, since 2×4632624676560² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4632624676560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40968900 + ... + 41081820.

Almost surely, 2^{4632624676560} is an apocalyptic number.

4632624676560 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 4632624676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335427574016).

4632624676560 is an abundant number, since it is smaller than the sum of its proper divisors (10038230471472).

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

4632624676560 is a wasteful number, since it uses less digits than its factorization.

4632624676560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116621 (or 116615 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 57.

The spelling of 4632624676560 in words is "four trillion, six hundred thirty-two billion, six hundred twenty-four million, six hundred seventy-six thousand, five hundred sixty".