61375623505664 has 108 divisors (see below), whose sum is σ = 132712784791776. Its totient is φ = 28316020801536.

The previous prime is 61375623505543. The next prime is 61375623505681. The reversal of 61375623505664 is 46650532657316.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 109741424 + ... + 110299280.

Almost surely, 2^{61375623505664} is an apocalyptic number.

61375623505664 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 61375623505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66356392395888).

61375623505664 is an abundant number, since it is smaller than the sum of its proper divisors (71337161286112).

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

61375623505664 is a wasteful number, since it uses less digits than its factorization.

61375623505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560442 (or 560415 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 59.

The spelling of 61375623505664 in words is "sixty-one trillion, three hundred seventy-five billion, six hundred twenty-three million, five hundred five thousand, six hundred sixty-four".