761268007692 has 108 divisors (see below), whose sum is σ = 2009088472440. Its totient is φ = 249279751152.

The previous prime is 761268007673. The next prime is 761268007733. The reversal of 761268007692 is 296700862167.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534973293 + ... + 534974715.

Almost surely, 2^761268007692 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 761268007692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004544236220).

761268007692 is an abundant number, since it is smaller than the sum of its proper divisors (1247820464748).

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

761268007692 is an equidigital number, since it uses as much as digits as its factorization.

761268007692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 761268007692 in words is "seven hundred sixty-one billion, two hundred sixty-eight million, seven thousand, six hundred ninety-two".