4791968400 has 120 divisors (see below), whose sum is σ = 15486553440. Its totient is φ = 1266513920.

The previous prime is 4791968393. The next prime is 4791968429. The reversal of 4791968400 is 48691974.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4791968400² = 45925922293197120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4791968400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117931 + ... + 153269.

It is an arithmetic number, because the mean of its divisors is an integer number (129054612).

Almost surely, 2^4791968400 is an apocalyptic number.

4791968400 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 4791968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743276720).

4791968400 is an abundant number, since it is smaller than the sum of its proper divisors (10694585040).

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

4791968400 is a wasteful number, since it uses less digits than its factorization.

4791968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35473 (or 35462 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 4791968400 is about 69224.0449554922. The cubic root of 4791968400 is about 1685.9239562184.

The spelling of 4791968400 in words is "four billion, seven hundred ninety-one million, nine hundred sixty-eight thousand, four hundred".