76625041171248 has 240 divisors, whose sum is σ = 222684974811936. Its totient is φ = 25507375165440.

The previous prime is 76625041171207. The next prime is 76625041171321. The reversal of 76625041171248 is 84217114052667.

It is a happy number.

76625041171248 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 504 + 1 + 1 + 7 + 124 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76625041171194 and 76625041171203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10760429128 + ... + 10760436248.

Almost surely, 2^{76625041171248} 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 76625041171248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111342487405968).

76625041171248 is an abundant number, since it is smaller than the sum of its proper divisors (146059933640688).

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

76625041171248 is a wasteful number, since it uses less digits than its factorization.

76625041171248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 76625041171248 in words is "seventy-six trillion, six hundred twenty-five billion, forty-one million, one hundred seventy-one thousand, two hundred forty-eight".