7628506137 has 24 divisors (see below), whose sum is σ = 13255885760. Its totient is φ = 4129716960.

The previous prime is 7628506129. The next prime is 7628506139. The reversal of 7628506137 is 7316058267.

7628506137 is a `hidden beast` number, since 7 + 6 + 2 + 8 + 506 + 137 = 666.

It is not a de Polignac number, because 7628506137 - 2³ = 7628506129 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7628506092 and 7628506101.

It is not an unprimeable number, because it can be changed into a prime (7628506139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3185314 + ... + 3187707.

Almost surely, 2^7628506137 is an apocalyptic number.

It is an amenable number.

7628506137 is a deficient number, since it is larger than the sum of its proper divisors (5627379623).

7628506137 is a wasteful number, since it uses less digits than its factorization.

7628506137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373053 (or 6373050 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7628506137 is about 87341.3197576038. The cubic root of 7628506137 is about 1968.5502261630.

The spelling of 7628506137 in words is "seven billion, six hundred twenty-eight million, five hundred six thousand, one hundred thirty-seven".