4619376000 has 768 divisors, whose sum is σ = 18562939200. Its totient is φ = 1128038400.

The previous prime is 4619375993. The next prime is 4619376011. The reversal of 4619376000 is 6739164.

4619376000 is a `hidden beast` number, since 4 + 6 + 19 + 37 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 124847982 + ... + 124848018.

Almost surely, 2^4619376000 is an apocalyptic number.

4619376000 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 4619376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281469600).

4619376000 is an abundant number, since it is smaller than the sum of its proper divisors (13943563200).

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

4619376000 is a wasteful number, since it uses less digits than its factorization.

4619376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4619376000 is about 67965.9914957473. The cubic root of 4619376000 is about 1665.4353216088.

The spelling of 4619376000 in words is "four billion, six hundred nineteen million, three hundred seventy-six thousand".