4026677760 has 240 divisors, whose sum is σ = 15938372736. Its totient is φ = 920346624.

The previous prime is 4026677731. The next prime is 4026677779. The reversal of 4026677760 is 677766204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 148797 + ... + 173763.

Almost surely, 2^4026677760 is an apocalyptic number.

4026677760 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 4026677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969186368).

4026677760 is an abundant number, since it is smaller than the sum of its proper divisors (11911694976).

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

4026677760 is a wasteful number, since it uses less digits than its factorization.

4026677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4026677760 is about 63456.1089257764. The cubic root of 4026677760 is about 1590.9222607256.

The spelling of 4026677760 in words is "four billion, twenty-six million, six hundred seventy-seven thousand, seven hundred sixty".