9677572920000 has 420 divisors, whose sum is σ = 36169777403760. Its totient is φ = 2468480256000.

The previous prime is 9677572919939. The next prime is 9677572920011. The reversal of 9677572920000 is 292757769.

9677572920000 is a `hidden beast` number, since 9 + 67 + 7 + 572 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7695606 + ... + 8864394.

It is an arithmetic number, because the mean of its divisors is an integer number (86118517628).

Almost surely, 2^{9677572920000} is an apocalyptic number.

9677572920000 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 9677572920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084888701880).

9677572920000 is an abundant number, since it is smaller than the sum of its proper divisors (26492204483760).

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

9677572920000 is a wasteful number, since it uses less digits than its factorization.

9677572920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168850 (or 1168822 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 9677572920000 in words is "nine trillion, six hundred seventy-seven billion, five hundred seventy-two million, nine hundred twenty thousand".