264060803429280 has 4032 divisors, whose sum is σ = 1144603216576512. Its totient is φ = 57005092085760.

The previous prime is 264060803429279. The next prime is 264060803429287. The reversal of 264060803429280 is 82924308060462.

264060803429280 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 60 + 80 + 3 + 429 + 2 + 80 = 666.

It is a super-2 number, since 2×264060803429280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (264060803429287) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1184129163249 + ... + 1184129163471.

It is an arithmetic number, because the mean of its divisors is an integer number (283879766016).

Almost surely, 2^{264060803429280} is an apocalyptic number.

264060803429280 is a gapful number since it is divisible by the number (20) 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 264060803429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572301608288256).

264060803429280 is an abundant number, since it is smaller than the sum of its proper divisors (880542413147232).

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

264060803429280 is a wasteful number, since it uses less digits than its factorization.

264060803429280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 264060803429280 in words is "two hundred sixty-four trillion, sixty billion, eight hundred three million, four hundred twenty-nine thousand, two hundred eighty".