97862736384 has 1280 divisors, whose sum is σ = 384661094400. Its totient is φ = 23887872000.

The previous prime is 97862736383. The next prime is 97862736421. The reversal of 97862736384 is 48363726879.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97862736383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 968937934 + ... + 968938034.

It is an arithmetic number, because the mean of its divisors is an integer number (300516480).

Almost surely, 2^97862736384 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 97862736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192330547200).

97862736384 is an abundant number, since it is smaller than the sum of its proper divisors (286798358016).

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

97862736384 is a wasteful number, since it uses less digits than its factorization.

97862736384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 97862736384 in words is "ninety-seven billion, eight hundred sixty-two million, seven hundred thirty-six thousand, three hundred eighty-four".