4732640640 has 384 divisors, whose sum is σ = 20115950400. Its totient is φ = 998424576.

The previous prime is 4732640639. The next prime is 4732640657. The reversal of 4732640640 is 460462374.

4732640640 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4732640595 and 4732640604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519646 + ... + 528674.

Almost surely, 2^4732640640 is an apocalyptic number.

4732640640 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 4732640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057975200).

4732640640 is an abundant number, since it is smaller than the sum of its proper divisors (15383309760).

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

4732640640 is a wasteful number, since it uses less digits than its factorization.

4732640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4732640640 is about 68794.1904523921. The cubic root of 4732640640 is about 1678.9374233148.

The spelling of 4732640640 in words is "four billion, seven hundred thirty-two million, six hundred forty thousand, six hundred forty".