7457141664 has 768 divisors, whose sum is σ = 28348185600. Its totient is φ = 1857945600.

The previous prime is 7457141663. The next prime is 7457141689. The reversal of 7457141664 is 4661417547.

7457141664 is a `hidden beast` number, since 7 + 4 + 571 + 4 + 16 + 64 = 666.

Its product of digits (564480) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (7457141663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122248194 + ... + 122248254.

It is an arithmetic number, because the mean of its divisors is an integer number (36911700).

Almost surely, 2^7457141664 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 7457141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174092800).

7457141664 is an abundant number, since it is smaller than the sum of its proper divisors (20891043936).

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

7457141664 is a wasteful number, since it uses less digits than its factorization.

7457141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 7457141664 is about 86354.7431470907. The cubic root of 7457141664 is about 1953.6981465823.

The spelling of 7457141664 in words is "seven billion, four hundred fifty-seven million, one hundred forty-one thousand, six hundred sixty-four".