625507466400 has 1728 divisors, whose sum is σ = 2593334016000. Its totient is φ = 146328145920.

The previous prime is 625507466387. The next prime is 625507466401. The reversal of 625507466400 is 4664705526.

625507466400 is a `hidden beast` number, since 62 + 5 + 507 + 46 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (625507466401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3143253501 + ... + 3143253699.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772000).

Almost surely, 2^625507466400 is an apocalyptic number.

625507466400 is a gapful number since it is divisible by the number (60) 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 625507466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008000).

625507466400 is an abundant number, since it is smaller than the sum of its proper divisors (1967826549600).

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

625507466400 is a wasteful number, since it uses less digits than its factorization.

625507466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 625507466400 in words is "six hundred twenty-five billion, five hundred seven million, four hundred sixty-six thousand, four hundred".