4720135680 has 800 divisors, whose sum is σ = 19464629184. Its totient is φ = 1082916864.

The previous prime is 4720135649. The next prime is 4720135681. The reversal of 4720135680 is 865310274.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4720135681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 45826509 + ... + 45826611.

Almost surely, 2^4720135680 is an apocalyptic number.

4720135680 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 4720135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732314592).

4720135680 is an abundant number, since it is smaller than the sum of its proper divisors (14744493504).

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

4720135680 is a wasteful number, since it uses less digits than its factorization.

4720135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4720135680 is about 68703.2435915510. The cubic root of 4720135680 is about 1677.4573782613.

The spelling of 4720135680 in words is "four billion, seven hundred twenty million, one hundred thirty-five thousand, six hundred eighty".