97605742080 has 1920 divisors, whose sum is σ = 447380651520. Its totient is φ = 17836277760.

The previous prime is 97605742051. The next prime is 97605742133. The reversal of 97605742080 is 8024750679.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1337064924 + ... + 1337064996.

It is an arithmetic number, because the mean of its divisors is an integer number (233010756).

Almost surely, 2^97605742080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97605742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223690325760).

97605742080 is an abundant number, since it is smaller than the sum of its proper divisors (349774909440).

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

97605742080 is a wasteful number, since it uses less digits than its factorization.

97605742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 97605742080 in words is "ninety-seven billion, six hundred five million, seven hundred forty-two thousand, eighty".