4196727360 has 336 divisors, whose sum is σ = 16689628800. Its totient is φ = 948068352.

The previous prime is 4196727341. The next prime is 4196727377. The reversal of 4196727360 is 637276914.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4196727360² = 35225041068345139200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793071 + ... + 1795409.

Almost surely, 2^4196727360 is an apocalyptic number.

4196727360 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 4196727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344814400).

4196727360 is an abundant number, since it is smaller than the sum of its proper divisors (12492901440).

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

4196727360 is a wasteful number, since it uses less digits than its factorization.

4196727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4196727360 is about 64782.1530979019. The cubic root of 4196727360 is about 1613.0094759329.

The spelling of 4196727360 in words is "four billion, one hundred ninety-six million, seven hundred twenty-seven thousand, three hundred sixty".