97780734136800 has 3456 divisors, whose sum is σ = 436900960798848. Its totient is φ = 20382901862400.

The previous prime is 97780734136763. The next prime is 97780734136871. The reversal of 97780734136800 is 863143708779.

97780734136800 is a `hidden beast` number, since 9 + 7 + 78 + 0 + 73 + 413 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×97780734136800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 290150546232 + ... + 290150546568.

It is an arithmetic number, because the mean of its divisors is an integer number (126418102083).

Almost surely, 2^{97780734136800} is an apocalyptic number.

97780734136800 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 97780734136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218450480399424).

97780734136800 is an abundant number, since it is smaller than the sum of its proper divisors (339120226662048).

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

97780734136800 is a wasteful number, since it uses less digits than its factorization.

97780734136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 97780734136800 in words is "ninety-seven trillion, seven hundred eighty billion, seven hundred thirty-four million, one hundred thirty-six thousand, eight hundred".