625692465216 has 1176 divisors, whose sum is σ = 2399303715480. Its totient is φ = 160275677184.

The previous prime is 625692465197. The next prime is 625692465263. The reversal of 625692465216 is 612564296526.

625692465216 is a `hidden beast` number, since 6 + 2 + 569 + 2 + 4 + 65 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35721000000 + 589971465216 = 189000^2 + 768096^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×625692465216² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1099634980 + ... + 1099635548.

Almost surely, 2^625692465216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625692465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199651857740).

625692465216 is an abundant number, since it is smaller than the sum of its proper divisors (1773611250264).

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

625692465216 is a wasteful number, since it uses less digits than its factorization.

625692465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 631 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 625692465216 in words is "six hundred twenty-five billion, six hundred ninety-two million, four hundred sixty-five thousand, two hundred sixteen".