625275240800 has 432 divisors, whose sum is σ = 1933645770000. Its totient is φ = 196086804480.

The previous prime is 625275240797. The next prime is 625275240803. The reversal of 625275240800 is 8042572526.

It is an interprime number because it is at equal distance from previous prime (625275240797) and next prime (625275240803).

It is a super-3 number, since 3×625275240800³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625275240803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21584726 + ... + 21613674.

It is an arithmetic number, because the mean of its divisors is an integer number (4476031875).

Almost surely, 2^625275240800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625275240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966822885000).

625275240800 is an abundant number, since it is smaller than the sum of its proper divisors (1308370529200).

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

625275240800 is a wasteful number, since it uses less digits than its factorization.

625275240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29031 (or 29011 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 625275240800 in words is "six hundred twenty-five billion, two hundred seventy-five million, two hundred forty thousand, eight hundred".