4610492640 has 288 divisors, whose sum is σ = 17359707456. Its totient is φ = 1107025920.

The previous prime is 4610492629. The next prime is 4610492651. The reversal of 4610492640 is 462940164.

4610492640 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 4 + 9 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4610492629) and next prime (4610492651).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4610492595 and 4610492604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764517 + ... + 770523.

It is an arithmetic number, because the mean of its divisors is an integer number (60276762).

Almost surely, 2^4610492640 is an apocalyptic number.

4610492640 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 4610492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679853728).

4610492640 is an abundant number, since it is smaller than the sum of its proper divisors (12749214816).

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

4610492640 is a wasteful number, since it uses less digits than its factorization.

4610492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4610492640 is about 67900.6085392465. The cubic root of 4610492640 is about 1664.3670564461.

The spelling of 4610492640 in words is "four billion, six hundred ten million, four hundred ninety-two thousand, six hundred forty".