4874688000 has 1280 divisors, whose sum is σ = 22878535680. Its totient is φ = 995328000.

The previous prime is 4874687999. The next prime is 4874688017. The reversal of 4874688000 is 8864784.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157247985 + ... + 157248015.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^4874688000 is an apocalyptic number.

4874688000 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 4874688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439267840).

4874688000 is an abundant number, since it is smaller than the sum of its proper divisors (18003847680).

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

4874688000 is a wasteful number, since it uses less digits than its factorization.

4874688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4874688000 is about 69818.9659046881. The cubic root of 4874688000 is about 1695.5695478133.

The spelling of 4874688000 in words is "four billion, eight hundred seventy-four million, six hundred eighty-eight thousand".