6474920040 has 96 divisors (see below), whose sum is σ = 21135652200. Its totient is φ = 1719083520.

The previous prime is 6474920017. The next prime is 6474920057. The reversal of 6474920040 is 400294746.

6474920040 is a `hidden beast` number, since 647 + 4 + 9 + 2 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6474777156 + 142884 = 80466^2 + 378^2 .

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 = 6474919977 and 6474920004.

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, 43170 + ... + 121710.

Almost surely, 2^6474920040 is an apocalyptic number.

6474920040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6474920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567826100).

6474920040 is an abundant number, since it is smaller than the sum of its proper divisors (14660732160).

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

6474920040 is a wasteful number, since it uses less digits than its factorization.

6474920040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78787 (or 78780 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6474920040 is about 80466.8878483566. The cubic root of 6474920040 is about 1863.8521966775.

The spelling of 6474920040 in words is "six billion, four hundred seventy-four million, nine hundred twenty thousand, forty".