68370890400 has 288 divisors, whose sum is σ = 251944499520. Its totient is φ = 17887933440.

The previous prime is 68370890381. The next prime is 68370890447. The reversal of 68370890400 is 409807386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1114939 + ... + 1174661.

It is an arithmetic number, because the mean of its divisors is an integer number (874807290).

Almost surely, 2^68370890400 is an apocalyptic number.

68370890400 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 68370890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125972249760).

68370890400 is an abundant number, since it is smaller than the sum of its proper divisors (183573609120).

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

68370890400 is a wasteful number, since it uses less digits than its factorization.

68370890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59805 (or 59786 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 68370890400 in words is "sixty-eight billion, three hundred seventy million, eight hundred ninety thousand, four hundred".