2625948472680 has 256 divisors, whose sum is σ = 9429563808000. Its totient is φ = 646175978496.

The previous prime is 2625948472673. The next prime is 2625948472753. The reversal of 2625948472680 is 862748495262.

2625948472680 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 9 + 484 + 72 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45306199 + ... + 45364121.

It is an arithmetic number, because the mean of its divisors is an integer number (36834233625).

Almost surely, 2^{2625948472680} is an apocalyptic number.

2625948472680 is a gapful number since it is divisible by the number (20) 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 2625948472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714781904000).

2625948472680 is an abundant number, since it is smaller than the sum of its proper divisors (6803615335320).

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

2625948472680 is a wasteful number, since it uses less digits than its factorization.

2625948472680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61185 (or 61175 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2625948472680 in words is "two trillion, six hundred twenty-five billion, nine hundred forty-eight million, four hundred seventy-two thousand, six hundred eighty".