68076707400 has 576 divisors, whose sum is σ = 274444934400. Its totient is φ = 14939873280.

The previous prime is 68076707399. The next prime is 68076707411. The reversal of 68076707400 is 470767086.

68076707400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 7553697 + ... + 7562703.

It is an arithmetic number, because the mean of its divisors is an integer number (476466900).

Almost surely, 2^68076707400 is an apocalyptic number.

68076707400 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 68076707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137222467200).

68076707400 is an abundant number, since it is smaller than the sum of its proper divisors (206368227000).

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

68076707400 is a wasteful number, since it uses less digits than its factorization.

68076707400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 68076707400 in words is "sixty-eight billion, seventy-six million, seven hundred seven thousand, four hundred".