4760340408 has 384 divisors, whose sum is σ = 15443136000. Its totient is φ = 1349913600.

The previous prime is 4760340407. The next prime is 4760340437. The reversal of 4760340408 is 8040430674.

4760340408 is a `hidden beast` number, since 4 + 7 + 603 + 4 + 0 + 40 + 8 = 666.

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 (4760340407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67047013 + ... + 67047083.

It is an arithmetic number, because the mean of its divisors is an integer number (40216500).

Almost surely, 2^4760340408 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 4760340408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721568000).

4760340408 is an abundant number, since it is smaller than the sum of its proper divisors (10682795592).

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

4760340408 is a wasteful number, since it uses less digits than its factorization.

4760340408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4760340408 is about 68995.2201822706. The cubic root of 4760340408 is about 1682.2066157318.

The spelling of 4760340408 in words is "four billion, seven hundred sixty million, three hundred forty thousand, four hundred eight".