67540987299456 has 192 divisors, whose sum is σ = 219877752276000. Its totient is φ = 20466965744640.

The previous prime is 67540987299371. The next prime is 67540987299497. The reversal of 67540987299456 is 65499278904576.

It is a happy number.

67540987299456 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 0 + 9 + 8 + 72 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 98360431 + ... + 99044718.

Almost surely, 2^{67540987299456} is an apocalyptic number.

67540987299456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67540987299456 is an abundant number, since it is smaller than the sum of its proper divisors (152336764976544).

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

67540987299456 is a wasteful number, since it uses less digits than its factorization.

67540987299456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197405189 (or 197405165 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 67540987299456 in words is "sixty-seven trillion, five hundred forty billion, nine hundred eighty-seven million, two hundred ninety-nine thousand, four hundred fifty-six".