9772793130240 has 1296 divisors, whose sum is σ = 42198563796480. Its totient is φ = 2156656803840.

The previous prime is 9772793130223. The next prime is 9772793130259. The reversal of 9772793130240 is 420313972779.

9772793130240 is a `hidden beast` number, since 9 + 77 + 279 + 31 + 30 + 240 = 666.

9772793130240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×9772793130240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 441976785 + ... + 441998895.

Almost surely, 2^{9772793130240} is an apocalyptic number.

9772793130240 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 9772793130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099281898240).

9772793130240 is an abundant number, since it is smaller than the sum of its proper divisors (32425770666240).

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

9772793130240 is a wasteful number, since it uses less digits than its factorization.

9772793130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 9772793130240 in words is "nine trillion, seven hundred seventy-two billion, seven hundred ninety-three million, one hundred thirty thousand, two hundred forty".