9677246272512 has 1408 divisors, whose sum is σ = 35506574208000. Its totient is φ = 2317659144192.

The previous prime is 9677246272511. The next prime is 9677246272513. The reversal of 9677246272512 is 2152726427769.

It is an interprime number because it is at equal distance from previous prime (9677246272511) and next prime (9677246272513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9677246272511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6753136948 + ... + 6753138380.

Almost surely, 2^{9677246272512} 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 9677246272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753287104000).

9677246272512 is an abundant number, since it is smaller than the sum of its proper divisors (25829327935488).

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

9677246272512 is a wasteful number, since it uses less digits than its factorization.

9677246272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1504 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 60.

The spelling of 9677246272512 in words is "nine trillion, six hundred seventy-seven billion, two hundred forty-six million, two hundred seventy-two thousand, five hundred twelve".