5429274624 has 288 divisors, whose sum is σ = 16992612000. Its totient is φ = 1664188416.

The previous prime is 5429274593. The next prime is 5429274659. The reversal of 5429274624 is 4264729245.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (967680) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 5429274624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12957487 + ... + 12957905.

It is an arithmetic number, because the mean of its divisors is an integer number (59002125).

Almost surely, 2^5429274624 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 5429274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496306000).

5429274624 is an abundant number, since it is smaller than the sum of its proper divisors (11563337376).

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

5429274624 is a wasteful number, since it uses less digits than its factorization.

5429274624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5429274624 is about 73683.6116378669. The cubic root of 5429274624 is about 1757.5752836409.

The spelling of 5429274624 in words is "five billion, four hundred twenty-nine million, two hundred seventy-four thousand, six hundred twenty-four".