61593661440 has 832 divisors, whose sum is σ = 237788006400. Its totient is φ = 15078260736.

The previous prime is 61593661399. The next prime is 61593661453. The reversal of 61593661440 is 4416639516.

61593661440 is a `hidden beast` number, since 6 + 1 + 593 + 6 + 6 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368824237 + ... + 368824403.

Almost surely, 2^61593661440 is an apocalyptic number.

61593661440 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 61593661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118894003200).

61593661440 is an abundant number, since it is smaller than the sum of its proper divisors (176194344960).

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

61593661440 is a wasteful number, since it uses less digits than its factorization.

61593661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 61593661440 in words is "sixty-one billion, five hundred ninety-three million, six hundred sixty-one thousand, four hundred forty".