5007629536 has 144 divisors (see below), whose sum is σ = 12285302400. Its totient is φ = 1967307264.

The previous prime is 5007629521. The next prime is 5007629551. The reversal of 5007629536 is 6359267005.

It is an interprime number because it is at equal distance from previous prime (5007629521) and next prime (5007629551).

It is a junction number, because it is equal to n+sod(n) for n = 5007629492 and 5007629501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6775855 + ... + 6776593.

It is an arithmetic number, because the mean of its divisors is an integer number (85314600).

Almost surely, 2^5007629536 is an apocalyptic number.

5007629536 is a gapful number since it is divisible by the number (56) 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 5007629536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142651200).

5007629536 is an abundant number, since it is smaller than the sum of its proper divisors (7277672864).

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

5007629536 is a wasteful number, since it uses less digits than its factorization.

5007629536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The square root of 5007629536 is about 70764.6065204916. The cubic root of 5007629536 is about 1710.8452595326.

The spelling of 5007629536 in words is "five billion, seven million, six hundred twenty-nine thousand, five hundred thirty-six".