77384387995040 has 768 divisors, whose sum is σ = 228684045090816. Its totient is φ = 24169552281600.

The previous prime is 77384387995021. The next prime is 77384387995099. The reversal of 77384387995040 is 4059978348377.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21394631312 + ... + 21394634928.

It is an arithmetic number, because the mean of its divisors is an integer number (297765683712).

Almost surely, 2^{77384387995040} is an apocalyptic number.

77384387995040 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 77384387995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114342022545408).

77384387995040 is an abundant number, since it is smaller than the sum of its proper divisors (151299657095776).

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

77384387995040 is a wasteful number, since it uses less digits than its factorization.

77384387995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 74.

The spelling of 77384387995040 in words is "seventy-seven trillion, three hundred eighty-four billion, three hundred eighty-seven million, nine hundred ninety-five thousand, forty".