4740664320 has 880 divisors, whose sum is σ = 20544150528. Its totient is φ = 1021870080.

The previous prime is 4740664303. The next prime is 4740664373. The reversal of 4740664320 is 234660474.

4740664320 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 6 + 643 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66769885 + ... + 66769955.

Almost surely, 2^4740664320 is an apocalyptic number.

4740664320 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 4740664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272075264).

4740664320 is an abundant number, since it is smaller than the sum of its proper divisors (15803486208).

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

4740664320 is a wasteful number, since it uses less digits than its factorization.

4740664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

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

The square root of 4740664320 is about 68852.4823081928. The cubic root of 4740664320 is about 1679.8857065103.

The spelling of 4740664320 in words is "four billion, seven hundred forty million, six hundred sixty-four thousand, three hundred twenty".