9977664000 has 320 divisors, whose sum is σ = 33485392512. Its totient is φ = 2635776000.

The previous prime is 9977663963. The next prime is 9977664001. The reversal of 9977664000 is 4667799.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977664001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30143835 + ... + 30144165.

Almost surely, 2^9977664000 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 9977664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742696256).

9977664000 is an abundant number, since it is smaller than the sum of its proper divisors (23507728512).

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

9977664000 is a wasteful number, since it uses less digits than its factorization.

9977664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 9977664000 is about 99888.2575681446. The cubic root of 9977664000 is about 2152.8294458390.

The spelling of 9977664000 in words is "nine billion, nine hundred seventy-seven million, six hundred sixty-four thousand".