60951742083648 has 672 divisors, whose sum is σ = 196541140828032. Its totient is φ = 18617610240000.

The previous prime is 60951742083623. The next prime is 60951742083667. The reversal of 60951742083648 is 84638024715906.

60951742083648 is a `hidden beast` number, since 6 + 0 + 9 + 517 + 42 + 0 + 8 + 36 + 48 = 666.

It is a super-2 number, since 2×60951742083648² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42006713323 + ... + 42006714773.

It is an arithmetic number, because the mean of its divisors is an integer number (292471935756).

It is a 1-persistent number, because it is pandigital, but 2⋅60951742083648 = 121903484167296 is not.

Almost surely, 2^{60951742083648} 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 60951742083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98270570414016).

60951742083648 is an abundant number, since it is smaller than the sum of its proper divisors (135589398744384).

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

60951742083648 is a wasteful number, since it uses less digits than its factorization.

60951742083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 60951742083648 in words is "sixty trillion, nine hundred fifty-one billion, seven hundred forty-two million, eighty-three thousand, six hundred forty-eight".