4659749640 has 512 divisors, whose sum is σ = 20248704000. Its totient is φ = 924991488.

The previous prime is 4659749629. The next prime is 4659749641. The reversal of 4659749640 is 469479564.

It is a happy number.

4659749640 is a `hidden beast` number, since 4 + 6 + 597 + 4 + 9 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4659749641) 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, 1669366 + ... + 1672154.

It is an arithmetic number, because the mean of its divisors is an integer number (39548250).

Almost surely, 2^4659749640 is an apocalyptic number.

4659749640 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 4659749640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352000).

4659749640 is an abundant number, since it is smaller than the sum of its proper divisors (15588954360).

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

4659749640 is a wasteful number, since it uses less digits than its factorization.

4659749640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4659749640 is about 68262.3588810114. The cubic root of 4659749640 is about 1670.2732577819.

The spelling of 4659749640 in words is "four billion, six hundred fifty-nine million, seven hundred forty-nine thousand, six hundred forty".