61590896640 has 1536 divisors, whose sum is σ = 288546935040. Its totient is φ = 12230590464.

The previous prime is 61590896639. The next prime is 61590896651. The reversal of 61590896640 is 4669809516.

It is a happy number.

61590896640 is a `hidden beast` number, since 6 + 1 + 590 + 8 + 9 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3622993912 + ... + 3622993928.

Almost surely, 2^61590896640 is an apocalyptic number.

61590896640 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 61590896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144273467520).

61590896640 is an abundant number, since it is smaller than the sum of its proper divisors (226956038400).

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

61590896640 is an equidigital number, since it uses as much as digits as its factorization.

61590896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 61590896640 in words is "sixty-one billion, five hundred ninety million, eight hundred ninety-six thousand, six hundred forty".