7401577004064 has 288 divisors, whose sum is σ = 23251958936640. Its totient is φ = 2282690598912.

The previous prime is 7401577004053. The next prime is 7401577004077. The reversal of 7401577004064 is 4604007751047.

7401577004064 is a `hidden beast` number, since 74 + 0 + 1 + 577 + 0 + 0 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 51056547 + ... + 51201309.

It is an arithmetic number, because the mean of its divisors is an integer number (80735968530).

Almost surely, 2^{7401577004064} 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 7401577004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625979468320).

7401577004064 is an abundant number, since it is smaller than the sum of its proper divisors (15850381932576).

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

7401577004064 is a wasteful number, since it uses less digits than its factorization.

7401577004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144917 (or 144844 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 7401577004064 in words is "seven trillion, four hundred one billion, five hundred seventy-seven million, four thousand, sixty-four".