1625940000 has 240 divisors, whose sum is σ = 5927977440. Its totient is φ = 433440000.

The previous prime is 1625939983. The next prime is 1625940011. The reversal of 1625940000 is 495261.

1625940000 is a `hidden beast` number, since 1 + 6 + 259 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538495 + ... + 541505.

It is an arithmetic number, because the mean of its divisors is an integer number (24699906).

Almost surely, 2^1625940000 is an apocalyptic number.

1625940000 is a gapful number since it is divisible by the number (10) 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 1625940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963988720).

1625940000 is an abundant number, since it is smaller than the sum of its proper divisors (4302037440).

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

1625940000 is an equidigital number, since it uses as much as digits as its factorization.

1625940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1625940000 is about 40322.9463209225. The cubic root of 1625940000 is about 1175.8939929436.

The spelling of 1625940000 in words is "one billion, six hundred twenty-five million, nine hundred forty thousand".