67920930000 has 1400 divisors, whose sum is σ = 309930240576. Its totient is φ = 14113440000.

The previous prime is 67920929959. The next prime is 67920930019. The reversal of 67920930000 is 3902976.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a super-2 number, since 2×67920930000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 6174629995 + ... + 6174630005.

Almost surely, 2^67920930000 is an apocalyptic number.

67920930000 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 67920930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154965120288).

67920930000 is an abundant number, since it is smaller than the sum of its proper divisors (242009310576).

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

67920930000 is an frugal number, since it uses more digits than its factorization.

67920930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 67920930000 in words is "sixty-seven billion, nine hundred twenty million, nine hundred thirty thousand".