67920134800 has 180 divisors, whose sum is σ = 190823786496. Its totient is φ = 23163705600.

The previous prime is 67920134771. The next prime is 67920134801. The reversal of 67920134800 is 843102976.

It is a super-2 number, since 2×67920134800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (67920134801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3734529 + ... + 3752671.

Almost surely, 2^67920134800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67920134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95411893248).

67920134800 is an abundant number, since it is smaller than the sum of its proper divisors (122903651696).

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

67920134800 is a wasteful number, since it uses less digits than its factorization.

67920134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 67920134800 in words is "sixty-seven billion, nine hundred twenty million, one hundred thirty-four thousand, eight hundred".