67896984960 has 384 divisors, whose sum is σ = 269620565760. Its totient is φ = 15422607360.

The previous prime is 67896984941. The next prime is 67896985001. The reversal of 67896984960 is 6948969876.

67896984960 is a `hidden beast` number, since 6 + 78 + 9 + 69 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×67896984960² (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 congruent number.

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, 6566995 + ... + 6577325.

It is an arithmetic number, because the mean of its divisors is an integer number (702136890).

Almost surely, 2^67896984960 is an apocalyptic number.

67896984960 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 67896984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134810282880).

67896984960 is an abundant number, since it is smaller than the sum of its proper divisors (201723580800).

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

67896984960 is a wasteful number, since it uses less digits than its factorization.

67896984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 67896984960 in words is "sixty-seven billion, eight hundred ninety-six million, nine hundred eighty-four thousand, nine hundred sixty".