97346551680 has 960 divisors, whose sum is σ = 425895267600. Its totient is φ = 21069103104.

The previous prime is 97346551667. The next prime is 97346551691. The reversal of 97346551680 is 8615564379.

97346551680 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 6 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×97346551680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48262032 + ... + 48264048.

Almost surely, 2^97346551680 is an apocalyptic number.

97346551680 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 97346551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212947633800).

97346551680 is an abundant number, since it is smaller than the sum of its proper divisors (328548715920).

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

97346551680 is a wasteful number, since it uses less digits than its factorization.

97346551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 97346551680 in words is "ninety-seven billion, three hundred forty-six million, five hundred fifty-one thousand, six hundred eighty".