4606829640 has 320 divisors, whose sum is σ = 17793388800. Its totient is φ = 1047209472.

The previous prime is 4606829573. The next prime is 4606829641. The reversal of 4606829640 is 469286064.

4606829640 is a `hidden beast` number, since 460 + 68 + 2 + 96 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4606829641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5193277 + ... + 5194163.

It is an arithmetic number, because the mean of its divisors is an integer number (55604340).

Almost surely, 2^4606829640 is an apocalyptic number.

4606829640 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 4606829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896694400).

4606829640 is an abundant number, since it is smaller than the sum of its proper divisors (13186559160).

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

4606829640 is a wasteful number, since it uses less digits than its factorization.

4606829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4606829640 is about 67873.6299309238. The cubic root of 4606829640 is about 1663.9261641686.

The spelling of 4606829640 in words is "four billion, six hundred six million, eight hundred twenty-nine thousand, six hundred forty".