7606761062400 has 1920 divisors, whose sum is σ = 30088586484000. Its totient is φ = 1896590868480.

The previous prime is 7606761062399. The next prime is 7606761062401. The reversal of 7606761062400 is 42601676067.

It is a happy number.

7606761062400 is a `hidden beast` number, since 7 + 6 + 0 + 6 + 7 + 6 + 10 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7606761062399) and next prime (7606761062401).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7606761062401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113533747167 + ... + 113533747233.

Almost surely, 2^{7606761062400} 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 7606761062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044293242000).

7606761062400 is an abundant number, since it is smaller than the sum of its proper divisors (22481825421600).

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

7606761062400 is an equidigital number, since it uses as much as digits as its factorization.

7606761062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 7606761062400 in words is "seven trillion, six hundred six billion, seven hundred sixty-one million, sixty-two thousand, four hundred".