4782190000 has 200 divisors, whose sum is σ = 13492306080. Its totient is φ = 1607424000.

The previous prime is 4782189991. The next prime is 4782190033. The reversal of 4782190000 is 912874.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×4782190000² = 45738682392200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3709356 + ... + 3710644.

Almost surely, 2^4782190000 is an apocalyptic number.

4782190000 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 4782190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746153040).

4782190000 is an abundant number, since it is smaller than the sum of its proper divisors (8710116080).

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

4782190000 is a wasteful number, since it uses less digits than its factorization.

4782190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 4782190000 is about 69153.3802499921. The cubic root of 4782190000 is about 1684.7764204813.

The spelling of 4782190000 in words is "four billion, seven hundred eighty-two million, one hundred ninety thousand".