96844587840 has 1008 divisors, whose sum is σ = 455327308800. Its totient is φ = 18571714560.

The previous prime is 96844587823. The next prime is 96844587859. The reversal of 96844587840 is 4878544869.

96844587840 is a `hidden beast` number, since 9 + 6 + 8 + 4 + 4 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20177761 + ... + 20182559.

It is an arithmetic number, because the mean of its divisors is an integer number (451713600).

Almost surely, 2^96844587840 is an apocalyptic number.

96844587840 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 96844587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227663654400).

96844587840 is an abundant number, since it is smaller than the sum of its proper divisors (358482720960).

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

96844587840 is a wasteful number, since it uses less digits than its factorization.

96844587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 96844587840 in words is "ninety-six billion, eight hundred forty-four million, five hundred eighty-seven thousand, eight hundred forty".