60349903712640 has 1536 divisors, whose sum is σ = 225040144492800. Its totient is φ = 14878428364800.

The previous prime is 60349903712563. The next prime is 60349903712669. The reversal of 60349903712640 is 4621730994306.

It is a happy number.

60349903712640 is a `hidden beast` number, since 6 + 0 + 3 + 4 + 9 + 9 + 0 + 371 + 264 + 0 = 666.

It is a super-2 number, since 2×60349903712640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55214915934 + ... + 55214917026.

Almost surely, 2^{60349903712640} is an apocalyptic number.

60349903712640 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 60349903712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112520072246400).

60349903712640 is an abundant number, since it is smaller than the sum of its proper divisors (164690240780160).

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

60349903712640 is a wasteful number, since it uses less digits than its factorization.

60349903712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 60349903712640 in words is "sixty trillion, three hundred forty-nine billion, nine hundred three million, seven hundred twelve thousand, six hundred forty".