68894727457920 has 1536 divisors, whose sum is σ = 279354197606400. Its totient is φ = 14313334210560.

The previous prime is 68894727457903. The next prime is 68894727458003. The reversal of 68894727457920 is 2975472749886.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21590323525 + ... + 21590326715.

It is an arithmetic number, because the mean of its divisors is an integer number (181871222400).

Almost surely, 2^{68894727457920} is an apocalyptic number.

68894727457920 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 68894727457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139677098803200).

68894727457920 is an abundant number, since it is smaller than the sum of its proper divisors (210459470148480).

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

68894727457920 is a wasteful number, since it uses less digits than its factorization.

68894727457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 78.

The spelling of 68894727457920 in words is "sixty-eight trillion, eight hundred ninety-four billion, seven hundred twenty-seven million, four hundred fifty-seven thousand, nine hundred twenty".