68953057920 has 768 divisors, whose sum is σ = 265129562880. Its totient is φ = 17079828480.

The previous prime is 68953057913. The next prime is 68953057969. The reversal of 68953057920 is 2975035986.

68953057920 is a `hidden beast` number, since 6 + 89 + 530 + 5 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132347260 + ... + 132347780.

It is an arithmetic number, because the mean of its divisors is an integer number (345220785).

Almost surely, 2^68953057920 is an apocalyptic number.

68953057920 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 68953057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132564781440).

68953057920 is an abundant number, since it is smaller than the sum of its proper divisors (196176504960).

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

68953057920 is a wasteful number, since it uses less digits than its factorization.

68953057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 68953057920 in words is "sixty-eight billion, nine hundred fifty-three million, fifty-seven thousand, nine hundred twenty".