60781674032640 has 3200 divisors, whose sum is σ = 256419752371200. Its totient is φ = 13614813020160.

The previous prime is 60781674032621. The next prime is 60781674032693. The reversal of 60781674032640 is 4623047618706.

60781674032640 is a `hidden beast` number, since 6 + 0 + 78 + 167 + 403 + 2 + 6 + 4 + 0 = 666.

60781674032640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 225954178426 + ... + 225954178694.

It is an arithmetic number, because the mean of its divisors is an integer number (80131172616).

Almost surely, 2^{60781674032640} is an apocalyptic number.

60781674032640 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 60781674032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128209876185600).

60781674032640 is an abundant number, since it is smaller than the sum of its proper divisors (195638078338560).

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

60781674032640 is a wasteful number, since it uses less digits than its factorization.

60781674032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 60781674032640 in words is "sixty trillion, seven hundred eighty-one billion, six hundred seventy-four million, thirty-two thousand, six hundred forty".