4772958840 has 288 divisors, whose sum is σ = 17685486000. Its totient is φ = 1112776704.

The previous prime is 4772958793. The next prime is 4772958851. The reversal of 4772958840 is 488592774.

It is a happy number.

4772958840 is a `hidden beast` number, since 477 + 2 + 95 + 8 + 84 + 0 = 666.

It is a super-2 number, since 2×4772958840² = 45562272176668291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153896 + ... + 1158024.

Almost surely, 2^4772958840 is an apocalyptic number.

4772958840 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 4772958840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842743000).

4772958840 is an abundant number, since it is smaller than the sum of its proper divisors (12912527160).

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

4772958840 is a wasteful number, since it uses less digits than its factorization.

4772958840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4772958840 is about 69086.6039113228. The cubic root of 4772958840 is about 1683.6916693169.

The spelling of 4772958840 in words is "four billion, seven hundred seventy-two million, nine hundred fifty-eight thousand, eight hundred forty".