5948629440 has 224 divisors, whose sum is σ = 21411102720. Its totient is φ = 1387155456.

The previous prime is 5948629429. The next prime is 5948629451. The reversal of 5948629440 is 449268495.

It is an interprime number because it is at equal distance from previous prime (5948629429) and next prime (5948629451).

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, 224577 + ... + 249663.

It is an arithmetic number, because the mean of its divisors is an integer number (95585280).

Almost surely, 2^5948629440 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 5948629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705551360).

5948629440 is an abundant number, since it is smaller than the sum of its proper divisors (15462473280).

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

5948629440 is a wasteful number, since it uses less digits than its factorization.

5948629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25139 (or 25129 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 5948629440 is about 77127.3585700950. The cubic root of 5948629440 is about 1811.9198050362.

The spelling of 5948629440 in words is "five billion, nine hundred forty-eight million, six hundred twenty-nine thousand, four hundred forty".