61175937664 has 128 divisors (see below), whose sum is σ = 128487490560. Its totient is φ = 29005286400.

The previous prime is 61175937643. The next prime is 61175937679. The reversal of 61175937664 is 46673957116.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61175937664² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 232607997 + ... + 232608259.

It is an arithmetic number, because the mean of its divisors is an integer number (1003808520).

Almost surely, 2^61175937664 is an apocalyptic number.

61175937664 is a gapful number since it is divisible by the number (64) 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 61175937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64243745280).

61175937664 is an abundant number, since it is smaller than the sum of its proper divisors (67311552896).

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

61175937664 is an frugal number, since it uses more digits than its factorization.

61175937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 357 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 55.

The spelling of 61175937664 in words is "sixty-one billion, one hundred seventy-five million, nine hundred thirty-seven thousand, six hundred sixty-four".