67361652864 has 896 divisors, whose sum is σ = 237598963200. Its totient is φ = 18811699200.

The previous prime is 67361652797. The next prime is 67361652877. The reversal of 67361652864 is 46825616376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67361652864.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 922762332 + ... + 922762404.

Almost surely, 2^67361652864 is an apocalyptic number.

67361652864 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 67361652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118799481600).

67361652864 is an abundant number, since it is smaller than the sum of its proper divisors (170237310336).

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

67361652864 is a wasteful number, since it uses less digits than its factorization.

67361652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 67361652864 in words is "sixty-seven billion, three hundred sixty-one million, six hundred fifty-two thousand, eight hundred sixty-four".