625532993280 has 1152 divisors, whose sum is σ = 2540551372800. Its totient is φ = 144473849856.

The previous prime is 625532993269. The next prime is 625532993297. The reversal of 625532993280 is 82399235526.

625532993280 is a `hidden beast` number, since 6 + 2 + 553 + 2 + 9 + 9 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1084112352 + ... + 1084112928.

Almost surely, 2^625532993280 is an apocalyptic number.

625532993280 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 625532993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270275686400).

625532993280 is an abundant number, since it is smaller than the sum of its proper divisors (1915018379520).

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

625532993280 is a wasteful number, since it uses less digits than its factorization.

625532993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 625532993280 in words is "six hundred twenty-five billion, five hundred thirty-two million, nine hundred ninety-three thousand, two hundred eighty".