96276660480 has 2304 divisors, whose sum is σ = 482616852480. Its totient is φ = 17663754240.

The previous prime is 96276660461. The next prime is 96276660497. The reversal of 96276660480 is 8406667269.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4185941749 + ... + 4185941771.

It is an arithmetic number, because the mean of its divisors is an integer number (209469120).

Almost surely, 2^96276660480 is an apocalyptic number.

96276660480 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 96276660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241308426240).

96276660480 is an abundant number, since it is smaller than the sum of its proper divisors (386340192000).

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

96276660480 is a wasteful number, since it uses less digits than its factorization.

96276660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 96276660480 in words is "ninety-six billion, two hundred seventy-six million, six hundred sixty thousand, four hundred eighty".