5961661440 has 396 divisors, whose sum is σ = 22433171256. Its totient is φ = 1347354624.

The previous prime is 5961661421. The next prime is 5961661469. The reversal of 5961661440 is 441661695.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5961661392 and 5961661401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66984916 + ... + 66985004.

Almost surely, 2^5961661440 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 5961661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216585628).

5961661440 is an abundant number, since it is smaller than the sum of its proper divisors (16471509816).

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

5961661440 is an equidigital number, since it uses as much as digits as its factorization.

5961661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5961661440 is about 77211.7959899911. The cubic root of 5961661440 is about 1813.2419984754.

The spelling of 5961661440 in words is "five billion, nine hundred sixty-one million, six hundred sixty-one thousand, four hundred forty".