67977324954 has 432 divisors, whose sum is σ = 201861773568. Its totient is φ = 17064432000.

The previous prime is 67977324953. The next prime is 67977324959. The reversal of 67977324954 is 45942377976.

67977324954 is a `hidden beast` number, since 6 + 79 + 7 + 73 + 2 + 495 + 4 = 666.

It is a super-2 number, since 2×67977324954² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 67977324891 and 67977324900.

It is not an unprimeable number, because it can be changed into a prime (67977324953) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89325934 + ... + 89326694.

It is an arithmetic number, because the mean of its divisors is an integer number (467272624).

Almost surely, 2^67977324954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67977324954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100930886784).

67977324954 is an abundant number, since it is smaller than the sum of its proper divisors (133884448614).

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

67977324954 is a wasteful number, since it uses less digits than its factorization.

67977324954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 815 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 67977324954 in words is "sixty-seven billion, nine hundred seventy-seven million, three hundred twenty-four thousand, nine hundred fifty-four".