6277393920 has 320 divisors, whose sum is σ = 23412787200. Its totient is φ = 1434230784.

The previous prime is 6277393891. The next prime is 6277393951. The reversal of 6277393920 is 293937726.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6277393920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633049 + ... + 2635431.

It is an arithmetic number, because the mean of its divisors is an integer number (73164960).

Almost surely, 2^6277393920 is an apocalyptic number.

6277393920 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 6277393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706393600).

6277393920 is an abundant number, since it is smaller than the sum of its proper divisors (17135393280).

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

6277393920 is an equidigital number, since it uses as much as digits as its factorization.

6277393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 6277393920 is about 79230.0064369554. The cubic root of 6277393920 is about 1844.7030287071.

The spelling of 6277393920 in words is "six billion, two hundred seventy-seven million, three hundred ninety-three thousand, nine hundred twenty".