97673748480 has 1792 divisors, whose sum is σ = 458996613120. Its totient is φ = 19110297600.

The previous prime is 97673748461. The next prime is 97673748499. The reversal of 97673748480 is 8484737679.

97673748480 is a `hidden beast` number, since 9 + 7 + 6 + 73 + 7 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (97673748461) and next prime (97673748499).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×97673748480² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2639831022 + ... + 2639831058.

Almost surely, 2^97673748480 is an apocalyptic number.

97673748480 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 97673748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229498306560).

97673748480 is an abundant number, since it is smaller than the sum of its proper divisors (361322864640).

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

97673748480 is a wasteful number, since it uses less digits than its factorization.

97673748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 97673748480 in words is "ninety-seven billion, six hundred seventy-three million, seven hundred forty-eight thousand, four hundred eighty".