67761292321152 has 128 divisors (see below), whose sum is σ = 206441213491200. Its totient is φ = 21858481359360.

The previous prime is 67761292321117. The next prime is 67761292321171. The reversal of 67761292321152 is 25112329216776.

67761292321152 is a `hidden beast` number, since 6 + 7 + 7 + 612 + 9 + 2 + 3 + 2 + 1 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×67761292321152³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316132468 + ... + 316346739.

It is an arithmetic number, because the mean of its divisors is an integer number (1612821980400).

Almost surely, 2^{67761292321152} is an apocalyptic number.

67761292321152 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

67761292321152 is an abundant number, since it is smaller than the sum of its proper divisors (138679921170048).

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

67761292321152 is a wasteful number, since it uses less digits than its factorization.

67761292321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632479261 (or 632479243 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 67761292321152 in words is "sixty-seven trillion, seven hundred sixty-one billion, two hundred ninety-two million, three hundred twenty-one thousand, one hundred fifty-two".