4968417300 has 216 divisors, whose sum is σ = 18059135808. Its totient is φ = 1032345600.

The previous prime is 4968417299. The next prime is 4968417359. The reversal of 4968417300 is 37148694.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244324 + ... + 263876.

Almost surely, 2^4968417300 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 4968417300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029567904).

4968417300 is an abundant number, since it is smaller than the sum of its proper divisors (13090718508).

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

4968417300 is a wasteful number, since it uses less digits than its factorization.

4968417300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4968417300 is about 70487.0009292494. Note that the first 3 decimals coincide. The cubic root of 4968417300 is about 1706.3679621647.

The spelling of 4968417300 in words is "four billion, nine hundred sixty-eight million, four hundred seventeen thousand, three hundred".