67232464896000 has 672 divisors, whose sum is σ = 235552000320000. Its totient is φ = 16983156326400.

The previous prime is 67232464895989. The next prime is 67232464896011. The reversal of 67232464896000 is 69846423276.

It is an interprime number because it is at equal distance from previous prime (67232464895989) and next prime (67232464896011).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7471099501 + ... + 7471108499.

It is an arithmetic number, because the mean of its divisors is an integer number (350523810000).

Almost surely, 2^{67232464896000} is an apocalyptic number.

67232464896000 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 67232464896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117776000160000).

67232464896000 is an abundant number, since it is smaller than the sum of its proper divisors (168319535424000).

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

67232464896000 is an frugal number, since it uses more digits than its factorization.

67232464896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 67232464896000 in words is "sixty-seven trillion, two hundred thirty-two billion, four hundred sixty-four million, eight hundred ninety-six thousand".