625295436480 has 1344 divisors, whose sum is σ = 2637914764800. Its totient is φ = 138499891200.

The previous prime is 625295436439. The next prime is 625295436499. The reversal of 625295436480 is 84634592526.

625295436480 is a `hidden beast` number, since 6 + 2 + 52 + 9 + 543 + 6 + 48 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1889109915 + ... + 1889110245.

It is an arithmetic number, because the mean of its divisors is an integer number (1962734200).

Almost surely, 2^625295436480 is an apocalyptic number.

625295436480 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 625295436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318957382400).

625295436480 is an abundant number, since it is smaller than the sum of its proper divisors (2012619328320).

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

625295436480 is a wasteful number, since it uses less digits than its factorization.

625295436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 625295436480 in words is "six hundred twenty-five billion, two hundred ninety-five million, four hundred thirty-six thousand, four hundred eighty".