4292086680 has 192 divisors, whose sum is σ = 15999197760. Its totient is φ = 977531904.

The previous prime is 4292086639. The next prime is 4292086723. The reversal of 4292086680 is 866802924.

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

It is a congruent number.

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, 735454 + ... + 741266.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 2^4292086680 is an apocalyptic number.

4292086680 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 4292086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999598880).

4292086680 is an abundant number, since it is smaller than the sum of its proper divisors (11707111080).

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

4292086680 is a wasteful number, since it uses less digits than its factorization.

4292086680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4292086680 is about 65514.0189577773. The cubic root of 4292086680 is about 1625.1351909616.

It can be divided in two parts, 42920 and 86680, that added together give a square (129600 = 360²).

The spelling of 4292086680 in words is "four billion, two hundred ninety-two million, eighty-six thousand, six hundred eighty".