625647052800 has 1944 divisors, whose sum is σ = 2877486434550. Its totient is φ = 129436876800.

The previous prime is 625647052781. The next prime is 625647052801. The reversal of 625647052800 is 8250746526.

625647052800 is a `hidden beast` number, since 6 + 2 + 56 + 4 + 70 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 579693413376 + 45953639424 = 761376^2 + 214368^2 .

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 (625647052801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2732083086 + ... + 2732083314.

Almost surely, 2^625647052800 is an apocalyptic number.

625647052800 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 625647052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438743217275).

625647052800 is an abundant number, since it is smaller than the sum of its proper divisors (2251839381750).

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

625647052800 is a wasteful number, since it uses less digits than its factorization.

625647052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 625647052800 in words is "six hundred twenty-five billion, six hundred forty-seven million, fifty-two thousand, eight hundred".