97626789000 has 1280 divisors, whose sum is σ = 399567168000. Its totient is φ = 22034073600.

The previous prime is 97626788999. The next prime is 97626789019. The reversal of 97626789000 is 98762679.

97626789000 is a `hidden beast` number, since 9 + 7 + 626 + 7 + 8 + 9 + 0 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 702350931 + ... + 702351069.

It is an arithmetic number, because the mean of its divisors is an integer number (312161850).

Almost surely, 2^97626789000 is an apocalyptic number.

97626789000 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 97626789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584000).

97626789000 is an abundant number, since it is smaller than the sum of its proper divisors (301940379000).

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

97626789000 is a wasteful number, since it uses less digits than its factorization.

97626789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 97626789000 in words is "ninety-seven billion, six hundred twenty-six million, seven hundred eighty-nine thousand".