77284109474040 has 384 divisors, whose sum is σ = 287494524288000. Its totient is φ = 16523365727232.

The previous prime is 77284109473999. The next prime is 77284109474083. The reversal of 77284109474040 is 4047490148277.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4447614 + ... + 13204146.

It is an arithmetic number, because the mean of its divisors is an integer number (748683657000).

Almost surely, 2^{77284109474040} is an apocalyptic number.

77284109474040 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 77284109474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143747262144000).

77284109474040 is an abundant number, since it is smaller than the sum of its proper divisors (210210414813960).

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

77284109474040 is a wasteful number, since it uses less digits than its factorization.

77284109474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756659 (or 8756648 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 77284109474040 in words is "seventy-seven trillion, two hundred eighty-four billion, one hundred nine million, four hundred seventy-four thousand, forty".