96733937664 has 840 divisors, whose sum is σ = 361008456480. Its totient is φ = 25225592832.

The previous prime is 96733937647. The next prime is 96733937669. The reversal of 96733937664 is 46673933769.

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 (96733937669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086898132 + ... + 1086898220.

It is an arithmetic number, because the mean of its divisors is an integer number (429771972).

Almost surely, 2^96733937664 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 96733937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180504228240).

96733937664 is an abundant number, since it is smaller than the sum of its proper divisors (264274518816).

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

96733937664 is an frugal number, since it uses more digits than its factorization.

96733937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its digits is 92588832, while the sum is 63.

The spelling of 96733937664 in words is "ninety-six billion, seven hundred thirty-three million, nine hundred thirty-seven thousand, six hundred sixty-four".