4629740640 has 384 divisors, whose sum is σ = 17929175040. Its totient is φ = 980563968.

The previous prime is 4629740639. The next prime is 4629740651. The reversal of 4629740640 is 460479264.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4629740592 and 4629740601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2999709 + ... + 3001251.

It is an arithmetic number, because the mean of its divisors is an integer number (46690560).

Almost surely, 2^4629740640 is an apocalyptic number.

4629740640 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 4629740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964587520).

4629740640 is an abundant number, since it is smaller than the sum of its proper divisors (13299434400).

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

4629740640 is a wasteful number, since it uses less digits than its factorization.

4629740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

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

The square root of 4629740640 is about 68042.1974953778. The cubic root of 4629740640 is about 1666.6799878046.

The spelling of 4629740640 in words is "four billion, six hundred twenty-nine million, seven hundred forty thousand, six hundred forty".