761563201664 has 64 divisors (see below), whose sum is σ = 1609894103040. Its totient is φ = 357608165376.

The previous prime is 761563201657. The next prime is 761563201691. The reversal of 761563201664 is 466102365167.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629537 + ... + 1385439.

It is an arithmetic number, because the mean of its divisors is an integer number (25154595360).

Almost surely, 2^761563201664 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 761563201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804947051520).

761563201664 is an abundant number, since it is smaller than the sum of its proper divisors (848330901376).

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

761563201664 is a wasteful number, since it uses less digits than its factorization.

761563201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756397 (or 756385 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 761563201664 in words is "seven hundred sixty-one billion, five hundred sixty-three million, two hundred one thousand, six hundred sixty-four".