7969900145760 has 480 divisors, whose sum is σ = 32506479593280. Its totient is φ = 1801221193728.

The previous prime is 7969900145747. The next prime is 7969900145783. The reversal of 7969900145760 is 675410099697.

7969900145760 is a `hidden beast` number, since 7 + 96 + 9 + 90 + 0 + 1 + 457 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7580532 + ... + 8567628.

It is an arithmetic number, because the mean of its divisors is an integer number (67721832486).

Almost surely, 2^{7969900145760} is an apocalyptic number.

7969900145760 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 7969900145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253239796640).

7969900145760 is an abundant number, since it is smaller than the sum of its proper divisors (24536579447520).

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

7969900145760 is a wasteful number, since it uses less digits than its factorization.

7969900145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987220 (or 987203 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 7969900145760 in words is "seven trillion, nine hundred sixty-nine billion, nine hundred million, one hundred forty-five thousand, seven hundred sixty".