97624042236000 has 3072 divisors, whose sum is σ = 434877017702400. Its totient is φ = 20797378560000.

The previous prime is 97624042235977. The next prime is 97624042236059. The reversal of 97624042236000 is 63224042679.

97624042236000 is a `hidden beast` number, since 9 + 7 + 6 + 2 + 404 + 2 + 236 + 0 + 0 + 0 = 666.

97624042236000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 122489387602 + ... + 122489388398.

It is an arithmetic number, because the mean of its divisors is an integer number (141561529200).

Almost surely, 2^{97624042236000} is an apocalyptic number.

97624042236000 is a gapful number since it is divisible by the number (90) 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 97624042236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217438508851200).

97624042236000 is an abundant number, since it is smaller than the sum of its proper divisors (337252975466400).

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

97624042236000 is a wasteful number, since it uses less digits than its factorization.

97624042236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 97624042236000 its reverse (63224042679), we get a palindrome (97687266278679).

The spelling of 97624042236000 in words is "ninety-seven trillion, six hundred twenty-four billion, forty-two million, two hundred thirty-six thousand".