5406056640 has 280 divisors, whose sum is σ = 19703198592. Its totient is φ = 1406177280.

The previous prime is 5406056633. The next prime is 5406056693. The reversal of 5406056640 is 466506045.

It is a happy number.

5406056640 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 0 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5406056595 and 5406056604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060177 + ... + 1065263.

Almost surely, 2^5406056640 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 5406056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9851599296).

5406056640 is an abundant number, since it is smaller than the sum of its proper divisors (14297141952).

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

5406056640 is a wasteful number, since it uses less digits than its factorization.

5406056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5406056640 is about 73525.8909500592. The cubic root of 5406056640 is about 1755.0663135144.

The spelling of 5406056640 in words is "five billion, four hundred six million, fifty-six thousand, six hundred forty".