6272640000 has 825 divisors, whose sum is σ = 25727991751. Its totient is φ = 1520640000.

The previous prime is 6272639981. The next prime is 6272640001. The reversal of 6272640000 is 462726.

The square root of 6272640000 is 79200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 5780865024 = 22176^2 + 76032^2 .

It is a tau number, because it is divible by the number of its divisors (825).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6272640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 570239995 + ... + 570240005.

Almost surely, 2^6272640000 is an apocalyptic number.

6272640000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6272640000 is the 79200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6272640000

6272640000 is an abundant number, since it is smaller than the sum of its proper divisors (19455351751).

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

6272640000 is an equidigital number, since it uses as much as digits as its factorization.

6272640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 6272640000 is about 1844.2372417143.

The spelling of 6272640000 in words is "six billion, two hundred seventy-two million, six hundred forty thousand".