4807200752640 has 1320 divisors, whose sum is σ = 20393963038680. Its totient is φ = 1075591249920.

The previous prime is 4807200752639. The next prime is 4807200752677. The reversal of 4807200752640 is 462570027084.

It is a happy number.

4807200752640 is a `hidden beast` number, since 4 + 80 + 7 + 2 + 0 + 0 + 7 + 526 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 657733976064 + 4149466776576 = 811008^2 + 2037024^2 .

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-3 number, since 3×4807200752640³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652350876 + ... + 652358244.

It is an arithmetic number, because the mean of its divisors is an integer number (15449971999).

Almost surely, 2^{4807200752640} is an apocalyptic number.

4807200752640 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 4807200752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196981519340).

4807200752640 is an abundant number, since it is smaller than the sum of its proper divisors (15586762286040).

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

4807200752640 is a wasteful number, since it uses less digits than its factorization.

4807200752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4807200752640 in words is "four trillion, eight hundred seven billion, two hundred million, seven hundred fifty-two thousand, six hundred forty".