67920652800 has 2880 divisors, whose sum is σ = 354617303040. Its totient is φ = 11943936000.

The previous prime is 67920652759. The next prime is 67920652801. The reversal of 67920652800 is 825602976.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×67920652800² (a number of 22 digits) contains 22 as substring.

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 (67920652801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2190988785 + ... + 2190988815.

It is an arithmetic number, because the mean of its divisors is an integer number (123131008).

Almost surely, 2^67920652800 is an apocalyptic number.

67920652800 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 67920652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177308651520).

67920652800 is an abundant number, since it is smaller than the sum of its proper divisors (286696650240).

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

67920652800 is a wasteful number, since it uses less digits than its factorization.

67920652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 67920652800 in words is "sixty-seven billion, nine hundred twenty million, six hundred fifty-two thousand, eight hundred".