67671362304 has 576 divisors, whose sum is σ = 247828295680. Its totient is φ = 17736744960.

The previous prime is 67671362263. The next prime is 67671362329. The reversal of 67671362304 is 40326317676.

67671362304 is a `hidden beast` number, since 6 + 7 + 6 + 7 + 13 + 623 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67671362304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170456634 + ... + 170457030.

Almost surely, 2^67671362304 is an apocalyptic number.

67671362304 is a gapful number since it is divisible by the number (64) 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 67671362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123914147840).

67671362304 is an abundant number, since it is smaller than the sum of its proper divisors (180156933376).

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

67671362304 is a wasteful number, since it uses less digits than its factorization.

67671362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 67671362304 in words is "sixty-seven billion, six hundred seventy-one million, three hundred sixty-two thousand, three hundred four".