75724314720261 has 16 divisors (see below), whose sum is σ = 107502149073600. Its totient is φ = 47247858099968.

The previous prime is 75724314720259. The next prime is 75724314720281. The reversal of 75724314720261 is 16202741342757.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 75724314720261 - 2¹ = 75724314720259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75724314720221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147450326 + ... + 4147468583.

It is an arithmetic number, because the mean of its divisors is an integer number (6718884317100).

Almost surely, 2^{75724314720261} is an apocalyptic number.

It is an amenable number.

75724314720261 is a deficient number, since it is larger than the sum of its proper divisors (31777834353339).

75724314720261 is a wasteful number, since it uses less digits than its factorization.

75724314720261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294919108.

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 75724314720261 in words is "seventy-five trillion, seven hundred twenty-four billion, three hundred fourteen million, seven hundred twenty thousand, two hundred sixty-one".