61734590401536 has 1056 divisors, whose sum is σ = 211190800661568. Its totient is φ = 17843921879040.

The previous prime is 61734590401501. The next prime is 61734590401567. The reversal of 61734590401536 is 63510409543716.

61734590401536 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 4 + 590 + 4 + 0 + 15 + 36 = 666.

It is a super-2 number, since 2×61734590401536² (a number of 28 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 51747350956 + ... + 51747352148.

Almost surely, 2^{61734590401536} 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 61734590401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105595400330784).

61734590401536 is an abundant number, since it is smaller than the sum of its proper divisors (149456210260032).

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

61734590401536 is a wasteful number, since it uses less digits than its factorization.

61734590401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 61734590401536 in words is "sixty-one trillion, seven hundred thirty-four billion, five hundred ninety million, four hundred one thousand, five hundred thirty-six".