61180240464 has 640 divisors, whose sum is σ = 222842880000. Its totient is φ = 16003008000.

The previous prime is 61180240409. The next prime is 61180240493. The reversal of 61180240464 is 46404208116.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87275314 + ... + 87276014.

It is an arithmetic number, because the mean of its divisors is an integer number (348192000).

Almost surely, 2^61180240464 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 61180240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440000).

61180240464 is an abundant number, since it is smaller than the sum of its proper divisors (161662639536).

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

61180240464 is a wasteful number, since it uses less digits than its factorization.

61180240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 61180240464 in words is "sixty-one billion, one hundred eighty million, two hundred forty thousand, four hundred sixty-four".