4767641956 has 192 divisors, whose sum is σ = 11411527680. Its totient is φ = 1687080960.

The previous prime is 4767641951. The next prime is 4767641981. The reversal of 4767641956 is 6591467674.

It is a super-2 number, since 2×4767641956² = 45460819641223011872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4767641897 and 4767641906.

It is not an unprimeable number, because it can be changed into a prime (4767641951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21002715 + ... + 21002941.

It is an arithmetic number, because the mean of its divisors is an integer number (59435040).

Almost surely, 2^4767641956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4767641956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705763840).

4767641956 is an abundant number, since it is smaller than the sum of its proper divisors (6643885724).

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

4767641956 is a wasteful number, since it uses less digits than its factorization.

4767641956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The square root of 4767641956 is about 69048.1133413506. The cubic root of 4767641956 is about 1683.0662487822.

The spelling of 4767641956 in words is "four billion, seven hundred sixty-seven million, six hundred forty-one thousand, nine hundred fifty-six".