5742132480 has 432 divisors, whose sum is σ = 23447983104. Its totient is φ = 1269596160.

The previous prime is 5742132469. The next prime is 5742132491. The reversal of 5742132480 is 842312475.

It is a happy number.

5742132480 is a `hidden beast` number, since 5 + 7 + 42 + 132 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5742132469) and next prime (5742132491).

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 47 ways as a sum of consecutive naturals, for example, 2498692 + ... + 2500988.

Almost surely, 2^5742132480 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 5742132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723991552).

5742132480 is an abundant number, since it is smaller than the sum of its proper divisors (17705850624).

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

5742132480 is a wasteful number, since it uses less digits than its factorization.

5742132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5742132480 is about 75776.8597924195. The cubic root of 5742132480 is about 1790.7064697817.

The spelling of 5742132480 in words is "five billion, seven hundred forty-two million, one hundred thirty-two thousand, four hundred eighty".