5615328480 has 192 divisors, whose sum is σ = 18956706048. Its totient is φ = 1392189440.

The previous prime is 5615328479. The next prime is 5615328503. The reversal of 5615328480 is 848235165.

It is a super-5 number, since 5×5615328480⁵ (a number of 50 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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, 673135 + ... + 681425.

It is an arithmetic number, because the mean of its divisors is an integer number (98732844).

Almost surely, 2^5615328480 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 5615328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478353024).

5615328480 is an abundant number, since it is smaller than the sum of its proper divisors (13341377568).

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

5615328480 is a wasteful number, since it uses less digits than its factorization.

5615328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5615328480 is about 74935.4954610964. The cubic root of 5615328480 is about 1777.4267915196.

The spelling of 5615328480 in words is "five billion, six hundred fifteen million, three hundred twenty-eight thousand, four hundred eighty".