67924970568 has 384 divisors, whose sum is σ = 240872486400. Its totient is φ = 16780566528.

The previous prime is 67924970521. The next prime is 67924970579. The reversal of 67924970568 is 86507942976.

67924970568 is a `hidden beast` number, since 6 + 7 + 92 + 497 + 0 + 56 + 8 = 666.

It is a super-2 number, since 2×67924970568² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25505605 + ... + 25508267.

It is an arithmetic number, because the mean of its divisors is an integer number (627272100).

Almost surely, 2^67924970568 is an apocalyptic number.

67924970568 is a gapful number since it is divisible by the number (68) 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 67924970568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120436243200).

67924970568 is an abundant number, since it is smaller than the sum of its proper divisors (172947515832).

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

67924970568 is a wasteful number, since it uses less digits than its factorization.

67924970568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 67924970568 in words is "sixty-seven billion, nine hundred twenty-four million, nine hundred seventy thousand, five hundred sixty-eight".