81967670400 has 1536 divisors, whose sum is σ = 359405568000. Its totient is φ = 16257024000.

The previous prime is 81967670377. The next prime is 81967670413. The reversal of 81967670400 is 407676918.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 81967670400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1122844764 + ... + 1122844836.

It is an arithmetic number, because the mean of its divisors is an integer number (233988000).

Almost surely, 2^81967670400 is an apocalyptic number.

81967670400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81967670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179702784000).

81967670400 is an abundant number, since it is smaller than the sum of its proper divisors (277437897600).

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

81967670400 is a wasteful number, since it uses less digits than its factorization.

81967670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 81967670400 in words is "eighty-one billion, nine hundred sixty-seven million, six hundred seventy thousand, four hundred".