4606740864 has 320 divisors, whose sum is σ = 15450209280. Its totient is φ = 1349913600.

The previous prime is 4606740851. The next prime is 4606740877. The reversal of 4606740864 is 4680476064.

It is an interprime number because it is at equal distance from previous prime (4606740851) and next prime (4606740877).

It is a super-2 number, since 2×4606740864² = 42444122776094932992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3534837 + ... + 3536139.

It is an arithmetic number, because the mean of its divisors is an integer number (48281904).

Almost surely, 2^4606740864 is an apocalyptic number.

4606740864 is a gapful number since it is divisible by the number (44) 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 4606740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725104640).

4606740864 is an abundant number, since it is smaller than the sum of its proper divisors (10843468416).

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

4606740864 is a wasteful number, since it uses less digits than its factorization.

4606740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4606740864 is about 67872.9759477216. The cubic root of 4606740864 is about 1663.9154758595.

The spelling of 4606740864 in words is "four billion, six hundred six million, seven hundred forty thousand, eight hundred sixty-four".