1625640000 has 560 divisors, whose sum is σ = 6094049280. Its totient is φ = 380160000.

The previous prime is 1625639989. The next prime is 1625640001. The reversal of 1625640000 is 465261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1625640001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 52439985 + ... + 52440015.

Almost surely, 2^1625640000 is an apocalyptic number.

1625640000 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 1625640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047024640).

1625640000 is an abundant number, since it is smaller than the sum of its proper divisors (4468409280).

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

1625640000 is a wasteful number, since it uses less digits than its factorization.

1625640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1625640000 is about 40319.2261830507. The cubic root of 1625640000 is about 1175.8216676227.

The spelling of 1625640000 in words is "one billion, six hundred twenty-five million, six hundred forty thousand".