60641411296752 has 320 divisors, whose sum is σ = 204542728427520. Its totient is φ = 16958587161600.

The previous prime is 60641411296751. The next prime is 60641411296759. The reversal of 60641411296752 is 25769211414606.

60641411296752 is a `hidden beast` number, since 6 + 0 + 6 + 414 + 112 + 9 + 67 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60641411296751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263730378 + ... + 263960214.

It is an arithmetic number, because the mean of its divisors is an integer number (639196026336).

Almost surely, 2^{60641411296752} 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 60641411296752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102271364213760).

60641411296752 is an abundant number, since it is smaller than the sum of its proper divisors (143901317130768).

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

60641411296752 is a wasteful number, since it uses less digits than its factorization.

60641411296752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234149 (or 234137 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 60641411296752 in words is "sixty trillion, six hundred forty-one billion, four hundred eleven million, two hundred ninety-six thousand, seven hundred fifty-two".