8157219840 has 1056 divisors, whose sum is σ = 37400163840. Its totient is φ = 1605795840.

The previous prime is 8157219797. The next prime is 8157219857. The reversal of 8157219840 is 489127518.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429327351 + ... + 429327369.

Almost surely, 2^8157219840 is an apocalyptic number.

8157219840 is a gapful number since it is divisible by the number (80) 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 8157219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700081920).

8157219840 is an abundant number, since it is smaller than the sum of its proper divisors (29242944000).

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

8157219840 is a wasteful number, since it uses less digits than its factorization.

8157219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8157219840 is about 90317.3285698819. The cubic root of 8157219840 is about 2013.0167516298.

The spelling of 8157219840 in words is "eight billion, one hundred fifty-seven million, two hundred nineteen thousand, eight hundred forty".