96749267076000 has 1920 divisors, whose sum is σ = 444574413803520. Its totient is φ = 20102484096000.

The previous prime is 96749267075999. The next prime is 96749267076001. The reversal of 96749267076000 is 67076294769.

96749267076000 is a `hidden beast` number, since 9 + 6 + 7 + 492 + 6 + 70 + 76 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96749267075999) and next prime (96749267076001).

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

It is not an unprimeable number, because it can be changed into a prime (96749267076001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6062356021 + ... + 6062371979.

It is an arithmetic number, because the mean of its divisors is an integer number (231549173856).

Almost surely, 2^{96749267076000} is an apocalyptic number.

96749267076000 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 96749267076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222287206901760).

96749267076000 is an abundant number, since it is smaller than the sum of its proper divisors (347825146727520).

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

96749267076000 is an equidigital number, since it uses as much as digits as its factorization.

96749267076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16029 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 96749267076000 in words is "ninety-six trillion, seven hundred forty-nine billion, two hundred sixty-seven million, seventy-six thousand".