67564953464976 has 160 divisors (see below), whose sum is σ = 211573467062400. Its totient is φ = 20473604997120.

The previous prime is 67564953464971. The next prime is 67564953465041. The reversal of 67564953464976 is 67946435946576.

67564953464976 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 4 + 9 + 534 + 6 + 4 + 9 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 67564953464895 and 67564953464904.

It is not an unprimeable number, because it can be changed into a prime (67564953464971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169965840 + ... + 170362896.

It is an arithmetic number, because the mean of its divisors is an integer number (1322334169140).

Almost surely, 2^{67564953464976} is an apocalyptic number.

67564953464976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67564953464976 is an abundant number, since it is smaller than the sum of its proper divisors (144008513597424).

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

67564953464976 is a wasteful number, since it uses less digits than its factorization.

67564953464976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432894 (or 432882 counting only the distinct ones).

The product of its digits is 24690355200, while the sum is 81.

The spelling of 67564953464976 in words is "sixty-seven trillion, five hundred sixty-four billion, nine hundred fifty-three million, four hundred sixty-four thousand, nine hundred seventy-six".