4612676640 has 768 divisors, whose sum is σ = 18654935040. Its totient is φ = 940769280.

The previous prime is 4612676639. The next prime is 4612676641. The reversal of 4612676640 is 466762164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4612676639) and next prime (4612676641).

It is a junction number, because it is equal to n+sod(n) for n = 4612676592 and 4612676601.

It is not an unprimeable number, because it can be changed into a prime (4612676641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68845887 + ... + 68845953.

It is an arithmetic number, because the mean of its divisors is an integer number (24290280).

Almost surely, 2^4612676640 is an apocalyptic number.

4612676640 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 4612676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327467520).

4612676640 is an abundant number, since it is smaller than the sum of its proper divisors (14042258400).

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

4612676640 is a wasteful number, since it uses less digits than its factorization.

4612676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4612676640 is about 67916.6889652315. The cubic root of 4612676640 is about 1664.6298196778.

The spelling of 4612676640 in words is "four billion, six hundred twelve million, six hundred seventy-six thousand, six hundred forty".