4712228640 has 576 divisors, whose sum is σ = 19717012224. Its totient is φ = 1000341504.

The previous prime is 4712228603. The next prime is 4712228683. The reversal of 4712228640 is 468222174.

4712228640 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 2 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4712228595 and 4712228604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18335392 + ... + 18335648.

It is an arithmetic number, because the mean of its divisors is an integer number (34230924).

Almost surely, 2^4712228640 is an apocalyptic number.

4712228640 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 4712228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858506112).

4712228640 is an abundant number, since it is smaller than the sum of its proper divisors (15004783584).

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

4712228640 is a wasteful number, since it uses less digits than its factorization.

4712228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4712228640 is about 68645.6745906106. The cubic root of 4712228640 is about 1676.5201780953.

The spelling of 4712228640 in words is "four billion, seven hundred twelve million, two hundred twenty-eight thousand, six hundred forty".