5456912760 has 256 divisors, whose sum is σ = 19738857600. Its totient is φ = 1332965376.

The previous prime is 5456912731. The next prime is 5456912767. The reversal of 5456912760 is 672196545.

5456912760 is a `hidden beast` number, since 5 + 4 + 569 + 1 + 27 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456912767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922062 + ... + 1924898.

Almost surely, 2^5456912760 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 5456912760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869428800).

5456912760 is an abundant number, since it is smaller than the sum of its proper divisors (14281944840).

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

5456912760 is a wasteful number, since it uses less digits than its factorization.

5456912760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5456912760 is about 73870.9195827424. The cubic root of 5456912760 is about 1760.5525942158.

The spelling of 5456912760 in words is "five billion, four hundred fifty-six million, nine hundred twelve thousand, seven hundred sixty".