4187931680 has 96 divisors (see below), whose sum is σ = 10205927424. Its totient is φ = 1622992896.

The previous prime is 4187931677. The next prime is 4187931733. The reversal of 4187931680 is 861397814.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 871364 + ... + 876156.

It is an arithmetic number, because the mean of its divisors is an integer number (106311744).

Almost surely, 2^4187931680 is an apocalyptic number.

4187931680 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 4187931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102963712).

4187931680 is an abundant number, since it is smaller than the sum of its proper divisors (6017995744).

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

4187931680 is a wasteful number, since it uses less digits than its factorization.

4187931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 4187931680 is about 64714.2308924397. The cubic root of 4187931680 is about 1611.8818164397.

The spelling of 4187931680 in words is "four billion, one hundred eighty-seven million, nine hundred thirty-one thousand, six hundred eighty".