761596661952 has 448 divisors, whose sum is σ = 2579339520000. Its totient is φ = 215861428224.

The previous prime is 761596661939. The next prime is 761596661977. The reversal of 761596661952 is 259166695167.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 761596661952.

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, 1271446549 + ... + 1271447147.

Almost surely, 2^761596661952 is an apocalyptic number.

761596661952 is a gapful number since it is divisible by the number (72) 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 761596661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289669760000).

761596661952 is an abundant number, since it is smaller than the sum of its proper divisors (1817742858048).

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

761596661952 is a wasteful number, since it uses less digits than its factorization.

761596661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1277 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 761596661952 in words is "seven hundred sixty-one billion, five hundred ninety-six million, six hundred sixty-one thousand, nine hundred fifty-two".