4634797440 has 512 divisors, whose sum is σ = 18654935040. Its totient is φ = 952565760.

The previous prime is 4634797403. The next prime is 4634797457. The reversal of 4634797440 is 447974364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4634797440.

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, 7163197 + ... + 7163843.

It is an arithmetic number, because the mean of its divisors is an integer number (36435420).

Almost surely, 2^4634797440 is an apocalyptic number.

4634797440 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 4634797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327467520).

4634797440 is an abundant number, since it is smaller than the sum of its proper divisors (14020137600).

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

4634797440 is a wasteful number, since it uses less digits than its factorization.

4634797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 4634797440 is about 68079.3466478638. The cubic root of 4634797440 is about 1667.2865733120.

The spelling of 4634797440 in words is "four billion, six hundred thirty-four million, seven hundred ninety-seven thousand, four hundred forty".