4077826740 has 576 divisors, whose sum is σ = 15067852800. Its totient is φ = 917070336.

The previous prime is 4077826733. The next prime is 4077826741. The reversal of 4077826740 is 476287704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077826741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51618021 + ... + 51618099.

Almost surely, 2^4077826740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077826740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533926400).

4077826740 is an abundant number, since it is smaller than the sum of its proper divisors (10990026060).

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

4077826740 is a wasteful number, since it uses less digits than its factorization.

4077826740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4077826740 is about 63857.8635721553. The cubic root of 4077826740 is about 1597.6301818132.

The spelling of 4077826740 in words is "four billion, seventy-seven million, eight hundred twenty-six thousand, seven hundred forty".