77475224125440 has 384 divisors, whose sum is σ = 277240606156800. Its totient is φ = 19993594429440.

The previous prime is 77475224125427. The next prime is 77475224125441. The reversal of 77475224125440 is 4452142257477.

77475224125440 is a `hidden beast` number, since 7 + 7 + 4 + 7 + 52 + 2 + 41 + 2 + 544 + 0 = 666.

77475224125440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (77475224125441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44863921 + ... + 46558799.

It is an arithmetic number, because the mean of its divisors is an integer number (721980745200).

Almost surely, 2^{77475224125440} 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 77475224125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138620303078400).

77475224125440 is an abundant number, since it is smaller than the sum of its proper divisors (199765382031360).

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

77475224125440 is a wasteful number, since it uses less digits than its factorization.

77475224125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694951 (or 1694920 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 54.

The spelling of 77475224125440 in words is "seventy-seven trillion, four hundred seventy-five billion, two hundred twenty-four million, one hundred twenty-five thousand, four hundred forty".