5435760960 has 280 divisors, whose sum is σ = 22098975360. Its totient is φ = 1242418176.

The previous prime is 5435760907. The next prime is 5435760971. The reversal of 5435760960 is 690675345.

5435760960 is a `hidden beast` number, since 5 + 4 + 35 + 7 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166461 + ... + 196419.

It is an arithmetic number, because the mean of its divisors is an integer number (78924912).

Almost surely, 2^5435760960 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 5435760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049487680).

5435760960 is an abundant number, since it is smaller than the sum of its proper divisors (16663214400).

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

5435760960 is a wasteful number, since it uses less digits than its factorization.

5435760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29995 (or 29976 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5435760960 is about 73727.6132802358. The cubic root of 5435760960 is about 1758.2749281729.

The spelling of 5435760960 in words is "five billion, four hundred thirty-five million, seven hundred sixty thousand, nine hundred sixty".