4791536640 has 704 divisors, whose sum is σ = 19525432320. Its totient is φ = 1102970880.

The previous prime is 4791536639. The next prime is 4791536647. The reversal of 4791536640 is 466351974.

4791536640 is a `hidden beast` number, since 4 + 79 + 1 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791536647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34974652 + ... + 34974788.

Almost surely, 2^4791536640 is an apocalyptic number.

4791536640 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 4791536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762716160).

4791536640 is an abundant number, since it is smaller than the sum of its proper divisors (14733895680).

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

4791536640 is a wasteful number, since it uses less digits than its factorization.

4791536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4791536640 is about 69220.9263156742. The cubic root of 4791536640 is about 1685.8733203537.

The spelling of 4791536640 in words is "four billion, seven hundred ninety-one million, five hundred thirty-six thousand, six hundred forty".