97363140480 has 640 divisors, whose sum is σ = 357760022400. Its totient is φ = 25328609280.

The previous prime is 97363140419. The next prime is 97363140493. The reversal of 97363140480 is 8404136379.

97363140480 is a `hidden beast` number, since 9 + 7 + 3 + 631 + 4 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×97363140480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 743230015 + ... + 743230145.

It is an arithmetic number, because the mean of its divisors is an integer number (559000035).

Almost surely, 2^97363140480 is an apocalyptic number.

97363140480 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 97363140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178880011200).

97363140480 is an abundant number, since it is smaller than the sum of its proper divisors (260396881920).

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

97363140480 is an frugal number, since it uses more digits than its factorization.

97363140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 97363140480 in words is "ninety-seven billion, three hundred sixty-three million, one hundred forty thousand, four hundred eighty".