74677924606321 has 9 divisors (see below), whose sum is σ = 74838302127883. Its totient is φ = 74517890093680.

The previous prime is 74677924606303. The next prime is 74677924606361. The reversal of 74677924606321 is 12360642977647.

It is a happy number.

The square root of 74677924606321 is 8641639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2958706167921 + 71719218438400 = 1720089^2 + 8468720^2 .

It is not a de Polignac number, because 74677924606321 - 2³⁷ = 74540485652849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74677924606301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4139336061 + ... + 4139354101.

Almost surely, 2^{74677924606321} is an apocalyptic number.

74677924606321 is the 8641639-th square number.

74677924606321 is the 4320820-th centered octagonal number.

It is an amenable number.

74677924606321 is a deficient number, since it is larger than the sum of its proper divisors (160377521562).

74677924606321 is an frugal number, since it uses more digits than its factorization.

74677924606321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37040 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 64.

The spelling of 74677924606321 in words is "seventy-four trillion, six hundred seventy-seven billion, nine hundred twenty-four million, six hundred six thousand, three hundred twenty-one".