625495680 has 288 divisors, whose sum is σ = 2251587780. Its totient is φ = 159989760.

The previous prime is 625495667. The next prime is 625495681. The reversal of 625495680 is 86594526.

It can be written as a sum of positive squares in 2 ways, for example, as 531948096 + 93547584 = 23064^2 + 9672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (625495681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5535304 + ... + 5535416.

Almost surely, 2^625495680 is an apocalyptic number.

625495680 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 625495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125793890).

625495680 is an abundant number, since it is smaller than the sum of its proper divisors (1626092100).

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

625495680 is a wasteful number, since it uses less digits than its factorization.

625495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 625495680 is about 25009.9116351898. The cubic root of 625495680 is about 855.2139405122.

The spelling of 625495680 in words is "six hundred twenty-five million, four hundred ninety-five thousand, six hundred eighty".