5460709824 has 224 divisors, whose sum is σ = 16604528640. Its totient is φ = 1758495744.

The previous prime is 5460709819. The next prime is 5460709843. The reversal of 5460709824 is 4289070645.

It is a happy number.

It is a super-2 number, since 2×5460709824² = 59638703563860221952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5460709824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14257537 + ... + 14257919.

It is an arithmetic number, because the mean of its divisors is an integer number (74127360).

Almost surely, 2^5460709824 is an apocalyptic number.

5460709824 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 5460709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302264320).

5460709824 is an abundant number, since it is smaller than the sum of its proper divisors (11143818816).

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

5460709824 is a wasteful number, since it uses less digits than its factorization.

5460709824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5460709824 is about 73896.6157817799. The cubic root of 5460709824 is about 1760.9608458684.

The spelling of 5460709824 in words is "five billion, four hundred sixty million, seven hundred nine thousand, eight hundred twenty-four".