9777619537920 has 728 divisors, whose sum is σ = 37885872730776. Its totient is φ = 2406750879744.

The previous prime is 9777619537901. The next prime is 9777619537927. The reversal of 9777619537920 is 297359167779.

9777619537920 is a `hidden beast` number, since 9 + 7 + 7 + 7 + 61 + 9 + 537 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 570230378496 + 9207389159424 = 755136^2 + 3034368^2 .

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 (9777619537927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194063772 + ... + 194114148.

Almost surely, 2^{9777619537920} is an apocalyptic number.

9777619537920 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 9777619537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942936365388).

9777619537920 is an abundant number, since it is smaller than the sum of its proper divisors (28108253192856).

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

9777619537920 is an equidigital number, since it uses as much as digits as its factorization.

9777619537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50437 (or 50400 counting only the distinct ones).

The product of its (nonzero) digits is 315059220, while the sum is 72.

The spelling of 9777619537920 in words is "nine trillion, seven hundred seventy-seven billion, six hundred nineteen million, five hundred thirty-seven thousand, nine hundred twenty".