67706351490960 has 480 divisors, whose sum is σ = 279870722127360. Its totient is φ = 14284387418112.

The previous prime is 67706351490959. The next prime is 67706351490971. The reversal of 67706351490960 is 6909415360776.

67706351490960 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 6 + 3 + 51 + 490 + 96 + 0 = 666.

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, 1704613981 + ... + 1704653699.

It is an arithmetic number, because the mean of its divisors is an integer number (583064004432).

Almost surely, 2^{67706351490960} is an apocalyptic number.

67706351490960 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 67706351490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139935361063680).

67706351490960 is an abundant number, since it is smaller than the sum of its proper divisors (212164370636400).

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

67706351490960 is a wasteful number, since it uses less digits than its factorization.

67706351490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65775 (or 65766 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 67706351490960 in words is "sixty-seven trillion, seven hundred six billion, three hundred fifty-one million, four hundred ninety thousand, nine hundred sixty".