625655795466240 has 8640 divisors, whose sum is σ = 3128731148390400. Its totient is φ = 119190926131200.

The previous prime is 625655795466239. The next prime is 625655795466313. The reversal of 625655795466240 is 42664597556526.

625655795466240 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 5 + 5 + 79 + 546 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 575 ways as a sum of consecutive naturals, for example, 20182445015025 + ... + 20182445015055.

Almost surely, 2^{625655795466240} is an apocalyptic number.

625655795466240 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 625655795466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564365574195200).

625655795466240 is an abundant number, since it is smaller than the sum of its proper divisors (2503075352924160).

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

625655795466240 is an equidigital number, since it uses as much as digits as its factorization.

625655795466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3265920000, while the sum is 72.

The spelling of 625655795466240 in words is "six hundred twenty-five trillion, six hundred fifty-five billion, seven hundred ninety-five million, four hundred sixty-six thousand, two hundred forty".