4677072624 has 160 divisors (see below), whose sum is σ = 15553687040. Its totient is φ = 1317938688.

The previous prime is 4677072539. The next prime is 4677072649. The reversal of 4677072624 is 4262707764.

It is a self number, because there is not a number n which added to its sum of digits gives 4677072624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210159 + ... + 231345.

It is an arithmetic number, because the mean of its divisors is an integer number (97210544).

Almost surely, 2^4677072624 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 4677072624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776843520).

4677072624 is an abundant number, since it is smaller than the sum of its proper divisors (10876614416).

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

4677072624 is a wasteful number, since it uses less digits than its factorization.

4677072624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21284 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 4677072624 is about 68389.1265041454. The cubic root of 4677072624 is about 1672.3404887187.

The spelling of 4677072624 in words is "four billion, six hundred seventy-seven million, seventy-two thousand, six hundred twenty-four".