6815537222400 has 648 divisors, whose sum is σ = 24862060445040. Its totient is φ = 1780789248000.

The previous prime is 6815537222341. The next prime is 6815537222411. The reversal of 6815537222400 is 42227355186.

6815537222400 is a `hidden beast` number, since 6 + 8 + 1 + 55 + 372 + 224 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 945154795 + ... + 945162005.

It is an arithmetic number, because the mean of its divisors is an integer number (38367377230).

Almost surely, 2^{6815537222400} is an apocalyptic number.

6815537222400 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 6815537222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431030222520).

6815537222400 is an abundant number, since it is smaller than the sum of its proper divisors (18046523222640).

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

6815537222400 is a wasteful number, since it uses less digits than its factorization.

6815537222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 6815537222400 in words is "six trillion, eight hundred fifteen billion, five hundred thirty-seven million, two hundred twenty-two thousand, four hundred".