7761738216960 has 960 divisors, whose sum is σ = 34151934136320. Its totient is φ = 1584801054720.

The previous prime is 7761738216857. The next prime is 7761738216971. The reversal of 7761738216960 is 696128371677.

7761738216960 is a `hidden beast` number, since 7 + 7 + 617 + 3 + 8 + 2 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64936131 + ... + 65055549.

It is an arithmetic number, because the mean of its divisors is an integer number (35574931392).

Almost surely, 2^{7761738216960} is an apocalyptic number.

7761738216960 is a gapful number since it is divisible by the number (70) 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 7761738216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075967068160).

7761738216960 is an abundant number, since it is smaller than the sum of its proper divisors (26390195919360).

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

7761738216960 is a wasteful number, since it uses less digits than its factorization.

7761738216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119499 (or 119480 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 7761738216960 in words is "seven trillion, seven hundred sixty-one billion, seven hundred thirty-eight million, two hundred sixteen thousand, nine hundred sixty".