8977268672064 has 1008 divisors, whose sum is σ = 33582268152576. Its totient is φ = 2266025932800.

The previous prime is 8977268672051. The next prime is 8977268672081. The reversal of 8977268672064 is 4602768627798.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8977268671983 and 8977268672001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2816838279 + ... + 2816841465.

Almost surely, 2^{8977268672064} is an apocalyptic number.

8977268672064 is a gapful number since it is divisible by the number (84) 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 8977268672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791134076288).

8977268672064 is an abundant number, since it is smaller than the sum of its proper divisors (24604999480512).

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

8977268672064 is a wasteful number, since it uses less digits than its factorization.

8977268672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 8977268672064 in words is "eight trillion, nine hundred seventy-seven billion, two hundred sixty-eight million, six hundred seventy-two thousand, sixty-four".