68602123022400 has 1680 divisors, whose sum is σ = 286331083399680. Its totient is φ = 16093085184000.

The previous prime is 68602123022347. The next prime is 68602123022401. The reversal of 68602123022400 is 422032120686.

68602123022400 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 212 + 30 + 2 + 2 + 400 = 666.

It is a super-2 number, since 2×68602123022400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68602123022401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5347419186 + ... + 5347432014.

Almost surely, 2^{68602123022400} is an apocalyptic number.

68602123022400 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 68602123022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143165541699840).

68602123022400 is an abundant number, since it is smaller than the sum of its proper divisors (217728960377280).

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

68602123022400 is a wasteful number, since it uses less digits than its factorization.

68602123022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 68602123022400 in words is "sixty-eight trillion, six hundred two billion, one hundred twenty-three million, twenty-two thousand, four hundred".