61001192736 has 72 divisors (see below), whose sum is σ = 189242346384. Its totient is φ = 18485208960.

The previous prime is 61001192723. The next prime is 61001192761. The reversal of 61001192736 is 63729110016.

61001192736 is a `hidden beast` number, since 610 + 0 + 1 + 1 + 9 + 2 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61001192736² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61001192736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9624546 + ... + 9630881.

It is an arithmetic number, because the mean of its divisors is an integer number (2628365922).

Almost surely, 2^61001192736 is an apocalyptic number.

61001192736 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61001192736 is an abundant number, since it is smaller than the sum of its proper divisors (128241153648).

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

61001192736 is a wasteful number, since it uses less digits than its factorization.

61001192736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255454 (or 19255443 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 61001192736 in words is "sixty-one billion, one million, one hundred ninety-two thousand, seven hundred thirty-six".