99967262976 has 243 divisors, whose sum is σ = 335644955373. Its totient is φ = 28531722240.

The previous prime is 99967262959. The next prime is 99967262999. The reversal of 99967262976 is 67926276999.

The square root of 99967262976 is 316176.

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., 61989048576 + 37978214400 = 248976^2 + 194880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106234666 + ... + 106235606.

Almost surely, 2^99967262976 is an apocalyptic number.

99967262976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

99967262976 is the 316176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99967262976

99967262976 is an abundant number, since it is smaller than the sum of its proper divisors (235677692397).

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

99967262976 is an frugal number, since it uses more digits than its factorization.

99967262976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 953 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 99967262976 in words is "ninety-nine billion, nine hundred sixty-seven million, two hundred sixty-two thousand, nine hundred seventy-six".