6313779225600 has 2376 divisors, whose sum is σ = 27354613067712. Its totient is φ = 1257062400000.

The previous prime is 6313779225553. The next prime is 6313779225647. The reversal of 6313779225600 is 65229773136.

It is an interprime number because it is at equal distance from previous prime (6313779225553) and next prime (6313779225647).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 62512665550 + ... + 62512665650.

Almost surely, 2^{6313779225600} is an apocalyptic number.

6313779225600 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 6313779225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677306533856).

6313779225600 is an abundant number, since it is smaller than the sum of its proper divisors (21040833842112).

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

6313779225600 is a wasteful number, since it uses less digits than its factorization.

6313779225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 6313779225600 in words is "six trillion, three hundred thirteen billion, seven hundred seventy-nine million, two hundred twenty-five thousand, six hundred".