4670810640 has 120 divisors (see below), whose sum is σ = 15782769600. Its totient is φ = 1237876992.

The previous prime is 4670810623. The next prime is 4670810653. The reversal of 4670810640 is 460180764.

4670810640 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 8 + 1 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 4670810595 and 4670810604.

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, 97461 + ... + 137259.

It is an arithmetic number, because the mean of its divisors is an integer number (131523080).

Almost surely, 2^4670810640 is an apocalyptic number.

4670810640 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 4670810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891384800).

4670810640 is an abundant number, since it is smaller than the sum of its proper divisors (11111958960).

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

4670810640 is a wasteful number, since it uses less digits than its factorization.

4670810640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39981 (or 39972 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4670810640 is about 68343.3291550829. The cubic root of 4670810640 is about 1671.5938075271.

The spelling of 4670810640 in words is "four billion, six hundred seventy million, eight hundred ten thousand, six hundred forty".