9514272768 has 864 divisors, whose sum is σ = 36905712480. Its totient is φ = 2146959360.

The previous prime is 9514272767. The next prime is 9514272769. The reversal of 9514272768 is 8672724159.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9514272767) and next prime (9514272769).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 9514272768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9514272767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559663096 + ... + 559663112.

It is an arithmetic number, because the mean of its divisors is an integer number (42714945).

Almost surely, 2^9514272768 is an apocalyptic number.

9514272768 is a gapful number since it is divisible by the number (98) 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 9514272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452856240).

9514272768 is an abundant number, since it is smaller than the sum of its proper divisors (27391439712).

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

9514272768 is a wasteful number, since it uses less digits than its factorization.

9514272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 9514272768 is about 97541.1337231632. The cubic root of 9514272768 is about 2118.9719092466.

It can be divided in two parts, 95142 and 72768, that added together give a triangular number (167910 = T₅₇₉).

The spelling of 9514272768 in words is "nine billion, five hundred fourteen million, two hundred seventy-two thousand, seven hundred sixty-eight".