97864341840 has 60 divisors (see below), whose sum is σ = 328661083764. Its totient is φ = 26097157632.

The previous prime is 97864341803. The next prime is 97864341871. The reversal of 97864341840 is 4814346879.

97864341840 is a `hidden beast` number, since 97 + 86 + 434 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37484057664 + 60380284176 = 193608^2 + 245724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67960629 + ... + 67962068.

Almost surely, 2^97864341840 is an apocalyptic number.

97864341840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97864341840 is an abundant number, since it is smaller than the sum of its proper divisors (230796741924).

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

97864341840 is a wasteful number, since it uses less digits than its factorization.

97864341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135922716 (or 135922707 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 97864341840 in words is "ninety-seven billion, eight hundred sixty-four million, three hundred forty-one thousand, eight hundred forty".