67277984400 has 675 divisors, whose sum is σ = 267442695289. Its totient is φ = 16185312000.

The previous prime is 67277984369. The next prime is 67277984447. The reversal of 67277984400 is 448977276.

The square root of 67277984400 is 259380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24220074384 + 43057910016 = 155628^2 + 207504^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 513572335 + ... + 513572465.

Almost surely, 2^67277984400 is an apocalyptic number.

67277984400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

67277984400 is the 259380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67277984400

67277984400 is an abundant number, since it is smaller than the sum of its proper divisors (200164710889).

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

67277984400 is a wasteful number, since it uses less digits than its factorization.

67277984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 67277984400 in words is "sixty-seven billion, two hundred seventy-seven million, nine hundred eighty-four thousand, four hundred".