60400434864 has 720 divisors, whose sum is σ = 217156101120. Its totient is φ = 14285859840.

The previous prime is 60400434859. The next prime is 60400434877. The reversal of 60400434864 is 46843400406.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270853857 + ... + 270854079.

It is an arithmetic number, because the mean of its divisors is an integer number (301605696).

Almost surely, 2^60400434864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60400434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108578050560).

60400434864 is an abundant number, since it is smaller than the sum of its proper divisors (156755666256).

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

60400434864 is a wasteful number, since it uses less digits than its factorization.

60400434864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 60400434864 in words is "sixty billion, four hundred million, four hundred thirty-four thousand, eight hundred sixty-four".