67978674792 has 192 divisors, whose sum is σ = 229247952000. Its totient is φ = 18279862272.

The previous prime is 67978674781. The next prime is 67978674817. The reversal of 67978674792 is 29747687976.

67978674792 is a `hidden beast` number, since 6 + 7 + 97 + 8 + 67 + 479 + 2 = 666.

67978674792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67978674792² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67978674792.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359184 + ... + 514752.

It is an arithmetic number, because the mean of its divisors is an integer number (1193999750).

Almost surely, 2^67978674792 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 67978674792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114623976000).

67978674792 is an abundant number, since it is smaller than the sum of its proper divisors (161269277208).

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

67978674792 is a wasteful number, since it uses less digits than its factorization.

67978674792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155625 (or 155598 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 67978674792 in words is "sixty-seven billion, nine hundred seventy-eight million, six hundred seventy-four thousand, seven hundred ninety-two".