61311744000 has 1152 divisors, whose sum is σ = 251132918400. Its totient is φ = 14273740800.

The previous prime is 61311743989. The next prime is 61311744017. The reversal of 61311744000 is 44711316.

It is a happy number.

61311744000 is a `hidden beast` number, since 61 + 31 + 174 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 688895956 + ... + 688896044.

It is an arithmetic number, because the mean of its divisors is an integer number (217997325).

Almost surely, 2^61311744000 is an apocalyptic number.

61311744000 is a gapful number since it is divisible by the number (60) 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 61311744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125566459200).

61311744000 is an abundant number, since it is smaller than the sum of its proper divisors (189821174400).

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

61311744000 is a wasteful number, since it uses less digits than its factorization.

61311744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61311744000 in words is "sixty-one billion, three hundred eleven million, seven hundred forty-four thousand".