667367104727400 has 384 divisors, whose sum is σ = 2583010151055360. Its totient is φ = 138475854720000.

The previous prime is 667367104727399. The next prime is 667367104727413. The reversal of 667367104727400 is 4727401763766.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22082937 + ... + 42689463.

It is an arithmetic number, because the mean of its divisors is an integer number (6726588935040).

Almost surely, 2^{667367104727400} is an apocalyptic number.

667367104727400 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 667367104727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291505075527680).

667367104727400 is an abundant number, since it is smaller than the sum of its proper divisors (1915643046327960).

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

667367104727400 is a wasteful number, since it uses less digits than its factorization.

667367104727400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20607265 (or 20607256 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 60.

The spelling of 667367104727400 in words is "six hundred sixty-seven trillion, three hundred sixty-seven billion, one hundred four million, seven hundred twenty-seven thousand, four hundred".