5407042680 has 256 divisors, whose sum is σ = 19603584000. Its totient is φ = 1317689856.

The previous prime is 5407042679. The next prime is 5407042681. The reversal of 5407042680 is 862407045.

5407042680 is a `hidden beast` number, since 540 + 70 + 42 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5407042679) and next prime (5407042681).

It is a super-2 number, since 2×5407042680² = 58472221086683164800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407042681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444251 + ... + 1447989.

It is an arithmetic number, because the mean of its divisors is an integer number (76576500).

Almost surely, 2^5407042680 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 5407042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801792000).

5407042680 is an abundant number, since it is smaller than the sum of its proper divisors (14196541320).

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

5407042680 is a wasteful number, since it uses less digits than its factorization.

5407042680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3865 counting only the distinct ones).

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

The square root of 5407042680 is about 73532.5960374037. The cubic root of 5407042680 is about 1755.1730123831.

The spelling of 5407042680 in words is "five billion, four hundred seven million, forty-two thousand, six hundred eighty".