2625799866624 has 945 divisors, whose sum is σ = 8932047824595. Its totient is φ = 770029286400.

The previous prime is 2625799866617. The next prime is 2625799866647. The reversal of 2625799866624 is 4266689975262.

The square root of 2625799866624 is 1620432.

It is a perfect power (a square), and thus also a powerful number.

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

Its product of digits (940584960) is a multiple of the sum of its prime factors (140).

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 104 ways as a sum of consecutive naturals, for example, 84703221489 + ... + 84703221519.

Almost surely, 2^{2625799866624} is an apocalyptic number.

2625799866624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2625799866624 is the 1620432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625799866624

2625799866624 is an abundant number, since it is smaller than the sum of its proper divisors (6306247957971).

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

2625799866624 is an frugal number, since it uses more digits than its factorization.

2625799866624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 47 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 2625799866624 in words is "two trillion, six hundred twenty-five billion, seven hundred ninety-nine million, eight hundred sixty-six thousand, six hundred twenty-four".