4708400640 has 320 divisors, whose sum is σ = 16251459840. Its totient is φ = 1159004160.

The previous prime is 4708400623. The next prime is 4708400657. The reversal of 4708400640 is 460048074.

It is an interprime number because it is at equal distance from previous prime (4708400623) and next prime (4708400657).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5982327 + ... + 5983113.

It is an arithmetic number, because the mean of its divisors is an integer number (50785812).

Almost surely, 2^4708400640 is an apocalyptic number.

4708400640 is a gapful number since it is divisible by the number (40) 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 4708400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125729920).

4708400640 is an abundant number, since it is smaller than the sum of its proper divisors (11543059200).

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

4708400640 is a wasteful number, since it uses less digits than its factorization.

4708400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4708400640 is about 68617.7866154250. The cubic root of 4708400640 is about 1676.0660788896.

The spelling of 4708400640 in words is "four billion, seven hundred eight million, four hundred thousand, six hundred forty".