5472760464 has 280 divisors, whose sum is σ = 16589116800. Its totient is φ = 1746987264.

The previous prime is 5472760453. The next prime is 5472760493. The reversal of 5472760464 is 4640672745.

5472760464 is a `hidden beast` number, since 54 + 72 + 76 + 0 + 464 = 666.

It is a super-2 number, since 2×5472760464² = 59902214192642990592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36729862 + ... + 36730010.

Almost surely, 2^5472760464 is an apocalyptic number.

5472760464 is a gapful number since it is divisible by the number (54) 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 5472760464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294558400).

5472760464 is an abundant number, since it is smaller than the sum of its proper divisors (11116356336).

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

5472760464 is a wasteful number, since it uses less digits than its factorization.

5472760464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 5472760464 is about 73978.1080050038. The cubic root of 5472760464 is about 1762.2552511210.

The spelling of 5472760464 in words is "five billion, four hundred seventy-two million, seven hundred sixty thousand, four hundred sixty-four".