77645237040 has 640 divisors, whose sum is σ = 320699473920. Its totient is φ = 16894697472.

The previous prime is 77645237009. The next prime is 77645237051. The reversal of 77645237040 is 4073254677.

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26292204 + ... + 26295156.

It is an arithmetic number, because the mean of its divisors is an integer number (501092928).

Almost surely, 2^77645237040 is an apocalyptic number.

77645237040 is a gapful number since it is divisible by the number (70) 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 77645237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160349736960).

77645237040 is an abundant number, since it is smaller than the sum of its proper divisors (243054236880).

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

77645237040 is a wasteful number, since it uses less digits than its factorization.

77645237040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 77645237040 in words is "seventy-seven billion, six hundred forty-five million, two hundred thirty-seven thousand, forty".