774891431795040 has 6144 divisors, whose sum is σ = 3415201284096000. Its totient is φ = 146453676687360.

The previous prime is 774891431795017. The next prime is 774891431795051. The reversal of 774891431795040 is 40597134198477.

It is a congruent number.

It is an unprimeable number.

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 1023 ways as a sum of consecutive naturals, for example, 5656141837852 + ... + 5656141837988.

It is an arithmetic number, because the mean of its divisors is an integer number (555859584000).

Almost surely, 2^{774891431795040} is an apocalyptic number.

774891431795040 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 774891431795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707600642048000).

774891431795040 is an abundant number, since it is smaller than the sum of its proper divisors (2640309852300960).

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

774891431795040 is a wasteful number, since it uses less digits than its factorization.

774891431795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 774891431795040 in words is "seven hundred seventy-four trillion, eight hundred ninety-one billion, four hundred thirty-one million, seven hundred ninety-five thousand, forty".