97849926720 has 1344 divisors, whose sum is σ = 451824791040. Its totient is φ = 19722092544.

The previous prime is 97849926709. The next prime is 97849926763. The reversal of 97849926720 is 2762994879.

97849926720 is a `hidden beast` number, since 9 + 78 + 499 + 2 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 126584254 + ... + 126585026.

It is an arithmetic number, because the mean of its divisors is an integer number (336179160).

Almost surely, 2^97849926720 is an apocalyptic number.

97849926720 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 97849926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225912395520).

97849926720 is an abundant number, since it is smaller than the sum of its proper divisors (353974864320).

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

97849926720 is a wasteful number, since it uses less digits than its factorization.

97849926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 97849926720 in words is "ninety-seven billion, eight hundred forty-nine million, nine hundred twenty-six thousand, seven hundred twenty".