625677132672 has 256 divisors, whose sum is σ = 2018319206400. Its totient is φ = 189958348800.

The previous prime is 625677132659. The next prime is 625677132673. The reversal of 625677132672 is 276231776526.

It is a happy number.

625677132672 is a `hidden beast` number, since 6 + 2 + 567 + 7 + 1 + 3 + 2 + 6 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625677132673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649547 + ... + 1993077.

It is an arithmetic number, because the mean of its divisors is an integer number (7884059400).

Almost surely, 2^625677132672 is an apocalyptic number.

625677132672 is a gapful number since it is divisible by the number (62) 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 625677132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009159603200).

625677132672 is an abundant number, since it is smaller than the sum of its proper divisors (1392642073728).

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

625677132672 is a wasteful number, since it uses less digits than its factorization.

625677132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343602 (or 343584 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 625677132672 in words is "six hundred twenty-five billion, six hundred seventy-seven million, one hundred thirty-two thousand, six hundred seventy-two".