61537326446464 has 128 divisors (see below), whose sum is σ = 138366798480000. Its totient is φ = 27003790571520.

The previous prime is 61537326446399. The next prime is 61537326446483. The reversal of 61537326446464 is 46464462373516.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364259487 + ... + 364428385.

It is an arithmetic number, because the mean of its divisors is an integer number (1080990613125).

Almost surely, 2^{61537326446464} is an apocalyptic number.

61537326446464 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 61537326446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183399240000).

61537326446464 is an abundant number, since it is smaller than the sum of its proper divisors (76829472033536).

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

61537326446464 is a wasteful number, since it uses less digits than its factorization.

61537326446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177876 (or 177864 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 61.

The spelling of 61537326446464 in words is "sixty-one trillion, five hundred thirty-seven billion, three hundred twenty-six million, four hundred forty-six thousand, four hundred sixty-four".