60767641440 has 144 divisors (see below), whose sum is σ = 226221415056. Its totient is φ = 14731545600.

The previous prime is 60767641421. The next prime is 60767641471. The reversal of 60767641440 is 4414676706.

60767641440 is a `hidden beast` number, since 60 + 76 + 76 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×60767641440³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902331 + ... + 1934010.

It is an arithmetic number, because the mean of its divisors is an integer number (1570982049).

Almost surely, 2^60767641440 is an apocalyptic number.

60767641440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60767641440 is an abundant number, since it is smaller than the sum of its proper divisors (165453773616).

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

60767641440 is a wasteful number, since it uses less digits than its factorization.

60767641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836373 (or 3836362 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 60767 and 641440, that added together give a palindrome (702207).

The spelling of 60767641440 in words is "sixty billion, seven hundred sixty-seven million, six hundred forty-one thousand, four hundred forty".