9819777681072 has 240 divisors, whose sum is σ = 27954941054976. Its totient is φ = 3217536000000.

The previous prime is 9819777681071. The next prime is 9819777681083. The reversal of 9819777681072 is 2701867779189.

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

It is not an unprimeable number, because it can be changed into a prime (9819777681071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801542947 + ... + 801555197.

Almost surely, 2^{9819777681072} 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 9819777681072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977470527488).

9819777681072 is an abundant number, since it is smaller than the sum of its proper divisors (18135163373904).

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

9819777681072 is a wasteful number, since it uses less digits than its factorization.

9819777681072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 72.

The spelling of 9819777681072 in words is "nine trillion, eight hundred nineteen billion, seven hundred seventy-seven million, six hundred eighty-one thousand, seventy-two".