4974192000 has 192 divisors, whose sum is σ = 17864084160. Its totient is φ = 1326412800.

The previous prime is 4974191983. The next prime is 4974192023. The reversal of 4974192000 is 2914794.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 126729 + ... + 161271.

It is an arithmetic number, because the mean of its divisors is an integer number (93042105).

Almost surely, 2^4974192000 is an apocalyptic number.

4974192000 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 4974192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932042080).

4974192000 is an abundant number, since it is smaller than the sum of its proper divisors (12889892160).

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

4974192000 is a wasteful number, since it uses less digits than its factorization.

4974192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34578 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4974192000 is about 70527.9519056097. The cubic root of 4974192000 is about 1707.0287995652.

The spelling of 4974192000 in words is "four billion, nine hundred seventy-four million, one hundred ninety-two thousand".