96838001064 has 384 divisors, whose sum is σ = 332489664000. Its totient is φ = 25988884992.

The previous prime is 96838001059. The next prime is 96838001069. The reversal of 96838001064 is 46010083869.

It is an interprime number because it is at equal distance from previous prime (96838001059) and next prime (96838001069).

It is not an unprimeable number, because it can be changed into a prime (96838001069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11352369 + ... + 11360895.

It is an arithmetic number, because the mean of its divisors is an integer number (865858500).

Almost surely, 2^96838001064 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 96838001064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166244832000).

96838001064 is an abundant number, since it is smaller than the sum of its proper divisors (235651662936).

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

96838001064 is a wasteful number, since it uses less digits than its factorization.

96838001064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96838001064 in words is "ninety-six billion, eight hundred thirty-eight million, one thousand, sixty-four".