761401405344 has 384 divisors, whose sum is σ = 2262368102400. Its totient is φ = 223035310080.

The previous prime is 761401405339. The next prime is 761401405379. The reversal of 761401405344 is 443504104167.

761401405344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 307884492 + ... + 307886964.

It is an arithmetic number, because the mean of its divisors is an integer number (5891583600).

Almost surely, 2^761401405344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761401405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131184051200).

761401405344 is an abundant number, since it is smaller than the sum of its proper divisors (1500966697056).

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

761401405344 is a wasteful number, since it uses less digits than its factorization.

761401405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 761401405344 in words is "seven hundred sixty-one billion, four hundred one million, four hundred five thousand, three hundred forty-four".