6250970880 has 1152 divisors, whose sum is σ = 28962662400. Its totient is φ = 1254113280.

The previous prime is 6250970879. The next prime is 6250970893. The reversal of 6250970880 is 880790526.

6250970880 is a `hidden beast` number, since 62 + 509 + 7 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215550706 + ... + 215550734.

It is an arithmetic number, because the mean of its divisors is an integer number (25141200).

Almost surely, 2^6250970880 is an apocalyptic number.

6250970880 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 6250970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481331200).

6250970880 is an abundant number, since it is smaller than the sum of its proper divisors (22711691520).

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

6250970880 is an equidigital number, since it uses as much as digits as its factorization.

6250970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6250970880 is about 79063.0816500344. The cubic root of 6250970880 is about 1842.1111244485. Note that the first 4 decimals are identical.

The spelling of 6250970880 in words is "six billion, two hundred fifty million, nine hundred seventy thousand, eight hundred eighty".