4087616625 has 96 divisors (see below), whose sum is σ = 7616389248. Its totient is φ = 2107555200.

The previous prime is 4087616609. The next prime is 4087616651. The reversal of 4087616625 is 5266167804.

4087616625 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 6 + 16 + 625 = 666.

It is not a de Polignac number, because 4087616625 - 2⁴ = 4087616609 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11779702 + ... + 11780048.

It is an arithmetic number, because the mean of its divisors is an integer number (79337388).

Almost surely, 2^4087616625 is an apocalyptic number.

4087616625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4087616625 is a deficient number, since it is larger than the sum of its proper divisors (3528772623).

4087616625 is a wasteful number, since it uses less digits than its factorization.

4087616625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4087616625 is about 63934.4713358920. The cubic root of 4087616625 is about 1598.9076691416.

The spelling of 4087616625 in words is "four billion, eighty-seven million, six hundred sixteen thousand, six hundred twenty-five".