7871874192 has 480 divisors, whose sum is σ = 29623659520. Its totient is φ = 1965150720.

The previous prime is 7871874187. The next prime is 7871874247. The reversal of 7871874192 is 2914781787.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 6721767 + ... + 6722937.

Almost surely, 2^7871874192 is an apocalyptic number.

7871874192 is a gapful number since it is divisible by the number (72) 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 7871874192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811829760).

7871874192 is an abundant number, since it is smaller than the sum of its proper divisors (21751785328).

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

7871874192 is a wasteful number, since it uses less digits than its factorization.

7871874192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1215 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The square root of 7871874192 is about 88723.5830656089. The cubic root of 7871874192 is about 1989.2653359091.

The spelling of 7871874192 in words is "seven billion, eight hundred seventy-one million, eight hundred seventy-four thousand, one hundred ninety-two".