68860454400 has 480 divisors, whose sum is σ = 263770974720. Its totient is φ = 17562378240.

The previous prime is 68860454393. The next prime is 68860454401. The reversal of 68860454400 is 445406886.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68860454401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7944469 + ... + 7953131.

It is an arithmetic number, because the mean of its divisors is an integer number (549522864).

Almost surely, 2^68860454400 is an apocalyptic number.

68860454400 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 68860454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131885487360).

68860454400 is an abundant number, since it is smaller than the sum of its proper divisors (194910520320).

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

68860454400 is a wasteful number, since it uses less digits than its factorization.

68860454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 68860454400 in words is "sixty-eight billion, eight hundred sixty million, four hundred fifty-four thousand, four hundred".