625427208192 has 384 divisors, whose sum is σ = 1830744115200. Its totient is φ = 189018931200.

The previous prime is 625427208173. The next prime is 625427208229. The reversal of 625427208192 is 291802724526.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356674842 + ... + 1356675302.

It is an arithmetic number, because the mean of its divisors is an integer number (4767562800).

Almost surely, 2^625427208192 is an apocalyptic number.

625427208192 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 625427208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915372057600).

625427208192 is an abundant number, since it is smaller than the sum of its proper divisors (1205316907008).

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

625427208192 is a wasteful number, since it uses less digits than its factorization.

625427208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 625427208192 in words is "six hundred twenty-five billion, four hundred twenty-seven million, two hundred eight thousand, one hundred ninety-two".