7466091552 has 288 divisors, whose sum is σ = 23115456000. Its totient is φ = 2277310464.

The previous prime is 7466091551. The next prime is 7466091559. The reversal of 7466091552 is 2551906647.

7466091552 is a `hidden beast` number, since 7 + 4 + 6 + 6 + 0 + 91 + 552 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7466091498 and 7466091507.

It is not an unprimeable number, because it can be changed into a prime (7466091551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37517949 + ... + 37518147.

It is an arithmetic number, because the mean of its divisors is an integer number (80262000).

Almost surely, 2^7466091552 is an apocalyptic number.

7466091552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7466091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

7466091552 is an abundant number, since it is smaller than the sum of its proper divisors (15649364448).

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

7466091552 is a wasteful number, since it uses less digits than its factorization.

7466091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7466091552 is about 86406.5480852001. The cubic root of 7466091552 is about 1954.4794284668.

The spelling of 7466091552 in words is "seven billion, four hundred sixty-six million, ninety-one thousand, five hundred fifty-two".