740564805152760 has 256 divisors, whose sum is σ = 2672821048320000. Its totient is φ = 160356547459584.

The previous prime is 740564805152747. The next prime is 740564805152801. The reversal of 740564805152760 is 67251508465047.

740564805152760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 740564805152694 and 740564805152703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407333821 + ... + 409147859.

It is an arithmetic number, because the mean of its divisors is an integer number (10440707220000).

Almost surely, 2^{740564805152760} is an apocalyptic number.

740564805152760 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 740564805152760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336410524160000).

740564805152760 is an abundant number, since it is smaller than the sum of its proper divisors (1932256243167240).

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

740564805152760 is a wasteful number, since it uses less digits than its factorization.

740564805152760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839658 (or 1839654 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 740564805152760 in words is "seven hundred forty trillion, five hundred sixty-four billion, eight hundred five million, one hundred fifty-two thousand, seven hundred sixty".