60826026240 has 432 divisors, whose sum is σ = 241119854976. Its totient is φ = 13868236800.

The previous prime is 60826026211. The next prime is 60826026263. The reversal of 60826026240 is 4262062806.

60826026240 is a `hidden beast` number, since 6 + 0 + 8 + 2 + 602 + 6 + 2 + 40 = 666.

It is a super-3 number, since 3×60826026240³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60826026195 and 60826026204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46044780 + ... + 46046100.

Almost surely, 2^60826026240 is an apocalyptic number.

60826026240 is a gapful number since it is divisible by the number (60) 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 60826026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120559927488).

60826026240 is an abundant number, since it is smaller than the sum of its proper divisors (180293828736).

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

60826026240 is a wasteful number, since it uses less digits than its factorization.

60826026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 60826026240 in words is "sixty billion, eight hundred twenty-six million, twenty-six thousand, two hundred forty".