1625377824 has 216 divisors, whose sum is σ = 5419896300. Its totient is φ = 460680192.

The previous prime is 1625377811. The next prime is 1625377889. The reversal of 1625377824 is 4287735261.

It can be written as a sum of positive squares in 2 ways, for example, as 1274490000 + 350887824 = 35700^2 + 18732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1625377824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102302 + ... + 2103074.

Almost surely, 2^1625377824 is an apocalyptic number.

1625377824 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 1625377824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709948150).

1625377824 is an abundant number, since it is smaller than the sum of its proper divisors (3794518476).

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

1625377824 is a wasteful number, since it uses less digits than its factorization.

1625377824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 934 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1625377824 is about 40315.9747990793. The cubic root of 1625377824 is about 1175.7584537920.

The spelling of 1625377824 in words is "one billion, six hundred twenty-five million, three hundred seventy-seven thousand, eight hundred twenty-four".