5460635520 has 256 divisors, whose sum is σ = 19432224000. Its totient is φ = 1449216000.

The previous prime is 5460635519. The next prime is 5460635567. The reversal of 5460635520 is 255360645.

It is a happy number.

5460635520 is a `hidden beast` number, since 5 + 46 + 0 + 63 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4336651 + ... + 4337909.

It is an arithmetic number, because the mean of its divisors is an integer number (75907125).

Almost surely, 2^5460635520 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 5460635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9716112000).

5460635520 is an abundant number, since it is smaller than the sum of its proper divisors (13971588480).

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

5460635520 is a wasteful number, since it uses less digits than its factorization.

5460635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5460635520 is about 73896.1130236226. The cubic root of 5460635520 is about 1760.9528586877.

The spelling of 5460635520 in words is "five billion, four hundred sixty million, six hundred thirty-five thousand, five hundred twenty".