4640461968 has 80 divisors (see below), whose sum is σ = 12633227136. Its totient is φ = 1464883200.

The previous prime is 4640461909. The next prime is 4640461981. The reversal of 4640461968 is 8691640464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90696 + ... + 132312.

Almost surely, 2^4640461968 is an apocalyptic number.

4640461968 is a gapful number since it is divisible by the number (48) 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 4640461968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316613568).

4640461968 is an abundant number, since it is smaller than the sum of its proper divisors (7992765168).

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

4640461968 is a wasteful number, since it uses less digits than its factorization.

4640461968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41752 (or 41746 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4640461968 is about 68120.9363411866. The cubic root of 4640461968 is about 1667.9655347731.

The spelling of 4640461968 in words is "four billion, six hundred forty million, four hundred sixty-one thousand, nine hundred sixty-eight".