1625979264 has 512 divisors, whose sum is σ = 5849088000. Its totient is φ = 388177920.

The previous prime is 1625979247. The next prime is 1625979323. The reversal of 1625979264 is 4629795261.

It is a super-3 number, since 3×1625979264³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20581977 + ... + 20582055.

It is an arithmetic number, because the mean of its divisors is an integer number (11424000).

Almost surely, 2^1625979264 is an apocalyptic number.

1625979264 is a gapful number since it is divisible by the number (14) 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 1625979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924544000).

1625979264 is an abundant number, since it is smaller than the sum of its proper divisors (4223108736).

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

1625979264 is a wasteful number, since it uses less digits than its factorization.

1625979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 1625979264 is about 40323.4331871680. The cubic root of 1625979264 is about 1175.9034582231.

The spelling of 1625979264 in words is "one billion, six hundred twenty-five million, nine hundred seventy-nine thousand, two hundred sixty-four".