68575961857536 has 2240 divisors, whose sum is σ = 254527794892800. Its totient is φ = 18409128837120.

The previous prime is 68575961857457. The next prime is 68575961857537. The reversal of 68575961857536 is 63575816957586.

68575961857536 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 5 + 9 + 6 + 1 + 8 + 575 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68575961857537) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 146843601175 + ... + 146843601641.

Almost surely, 2^{68575961857536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68575961857536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127263897446400).

68575961857536 is an abundant number, since it is smaller than the sum of its proper divisors (185951833035264).

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

68575961857536 is an frugal number, since it uses more digits than its factorization.

68575961857536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 547 counting only the distinct ones).

The product of its digits is 11430720000, while the sum is 81.

The spelling of 68575961857536 in words is "sixty-eight trillion, five hundred seventy-five billion, nine hundred sixty-one million, eight hundred fifty-seven thousand, five hundred thirty-six".