625828420800 has 1344 divisors, whose sum is σ = 2566142899200. Its totient is φ = 148925952000.

The previous prime is 625828420793. The next prime is 625828420813. The reversal of 625828420800 is 8024828526.

625828420800 is a `hidden beast` number, since 62 + 582 + 8 + 4 + 2 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×625828420800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2732875086 + ... + 2732875314.

Almost surely, 2^625828420800 is an apocalyptic number.

625828420800 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 625828420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283071449600).

625828420800 is an abundant number, since it is smaller than the sum of its proper divisors (1940314478400).

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

625828420800 is a wasteful number, since it uses less digits than its factorization.

625828420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 625828420800 in words is "six hundred twenty-five billion, eight hundred twenty-eight million, four hundred twenty thousand, eight hundred".