68149635586560 has 1600 divisors, whose sum is σ = 274932539798400. Its totient is φ = 15989108244480.

The previous prime is 68149635586489. The next prime is 68149635586589. The reversal of 68149635586560 is 6568553694186.

68149635586560 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 9 + 6 + 3 + 5 + 58 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16625915391 + ... + 16625919489.

It is an arithmetic number, because the mean of its divisors is an integer number (171832837374).

Almost surely, 2^{68149635586560} is an apocalyptic number.

68149635586560 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 68149635586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137466269899200).

68149635586560 is an abundant number, since it is smaller than the sum of its proper divisors (206782904211840).

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

68149635586560 is a wasteful number, since it uses less digits than its factorization.

68149635586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 68149635586560 in words is "sixty-eight trillion, one hundred forty-nine billion, six hundred thirty-five million, five hundred eighty-six thousand, five hundred sixty".