761100020667 has 288 divisors, whose sum is σ = 1421686536192. Its totient is φ = 389562421248.

The previous prime is 761100020641. The next prime is 761100020677. The reversal of 761100020667 is 766020001167.

It is not a de Polignac number, because 761100020667 - 2¹⁴ = 761100004283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (761100020677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2431629303 + ... + 2431629615.

It is an arithmetic number, because the mean of its divisors is an integer number (4936411584).

Almost surely, 2^761100020667 is an apocalyptic number.

761100020667 is a deficient number, since it is larger than the sum of its proper divisors (660586515525).

761100020667 is a wasteful number, since it uses less digits than its factorization.

761100020667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 761100020667 in words is "seven hundred sixty-one billion, one hundred million, twenty thousand, six hundred sixty-seven".