4688873904 has 360 divisors, whose sum is σ = 15319550736. Its totient is φ = 1230028800.

The previous prime is 4688873899. The next prime is 4688873927. The reversal of 4688873904 is 4093788864.

It is a super-2 number, since 2×4688873904² = 43971076975224402432, which contains 22 as substring.

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, 16686244 + ... + 16686524.

Almost surely, 2^4688873904 is an apocalyptic number.

4688873904 is a gapful number since it is divisible by the number (44) 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 4688873904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659775368).

4688873904 is an abundant number, since it is smaller than the sum of its proper divisors (10630676832).

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

4688873904 is a wasteful number, since it uses less digits than its factorization.

4688873904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The square root of 4688873904 is about 68475.3525292130. The cubic root of 4688873904 is about 1673.7458679635.

The spelling of 4688873904 in words is "four billion, six hundred eighty-eight million, eight hundred seventy-three thousand, nine hundred four".