6268091372400 has 1920 divisors, whose sum is σ = 25851601391616. Its totient is φ = 1274653900800.

The previous prime is 6268091372371. The next prime is 6268091372449. The reversal of 6268091372400 is 42731908626.

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 6268091372400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13422036967 + ... + 13422037433.

Almost surely, 2^{6268091372400} is an apocalyptic number.

6268091372400 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 6268091372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925800695808).

6268091372400 is an abundant number, since it is smaller than the sum of its proper divisors (19583510019216).

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

6268091372400 is a wasteful number, since it uses less digits than its factorization.

6268091372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 6268091372400 in words is "six trillion, two hundred sixty-eight billion, ninety-one million, three hundred seventy-two thousand, four hundred".