4687031920 has 80 divisors (see below), whose sum is σ = 11668315680. Its totient is φ = 1744658432.

The previous prime is 4687031917. The next prime is 4687031963. The reversal of 4687031920 is 291307864.

4687031920 = T₁₅ + T₁₆ + ... + T₃₀₄₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101679 + ... + 140401.

It is an arithmetic number, because the mean of its divisors is an integer number (145853946).

Almost surely, 2^4687031920 is an apocalyptic number.

4687031920 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 4687031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834157840).

4687031920 is an abundant number, since it is smaller than the sum of its proper divisors (6981283760).

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

4687031920 is a wasteful number, since it uses less digits than its factorization.

4687031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38842 (or 38836 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 4687031920 is about 68461.9012298081. The cubic root of 4687031920 is about 1673.5266670088.

The spelling of 4687031920 in words is "four billion, six hundred eighty-seven million, thirty-one thousand, nine hundred twenty".