36294878608560 has 2560 divisors, whose sum is σ = 155095353262080. Its totient is φ = 7681443840000.

The previous prime is 36294878608517. The next prime is 36294878608601. The reversal of 36294878608560 is 6580687849263.

36294878608560 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 4 + 8 + 7 + 8 + 608 + 5 + 6 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 133929441225 + ... + 133929441495.

It is an arithmetic number, because the mean of its divisors is an integer number (60584122368).

Almost surely, 2^{36294878608560} is an apocalyptic number.

36294878608560 is a gapful number since it is divisible by the number (30) 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 36294878608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77547676631040).

36294878608560 is an abundant number, since it is smaller than the sum of its proper divisors (118800474653520).

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

36294878608560 is a wasteful number, since it uses less digits than its factorization.

36294878608560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 36294878608560 in words is "thirty-six trillion, two hundred ninety-four billion, eight hundred seventy-eight million, six hundred eight thousand, five hundred sixty".