4097764774080 has 168 divisors, whose sum is σ = 14097881524272. Its totient is φ = 1092483127296.

The previous prime is 4097764774079. The next prime is 4097764774097. The reversal of 4097764774080 is 804774677904.

4097764774080 is a `hidden beast` number, since 4 + 0 + 97 + 76 + 4 + 77 + 408 + 0 = 666.

It is a super-2 number, since 2×4097764774080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4097764773999 and 4097764774017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12384879 + ... + 12711441.

It is an arithmetic number, because the mean of its divisors is an integer number (83915961454).

Almost surely, 2^{4097764774080} is an apocalyptic number.

4097764774080 is a gapful number since it is divisible by the number (40) 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 4097764774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048940762136).

4097764774080 is an abundant number, since it is smaller than the sum of its proper divisors (10000116750192).

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

4097764774080 is a wasteful number, since it uses less digits than its factorization.

4097764774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330943 (or 330930 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 4097764774080 in words is "four trillion, ninety-seven billion, seven hundred sixty-four million, seven hundred seventy-four thousand, eighty".