7466038272 has 660 divisors, whose sum is σ = 28462208544. Its totient is φ = 1927618560.

The previous prime is 7466038249. The next prime is 7466038289. The reversal of 7466038272 is 2728306647.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706733 + ... + 44706899.

Almost surely, 2^7466038272 is an apocalyptic number.

7466038272 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 7466038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231104272).

7466038272 is an abundant number, since it is smaller than the sum of its proper divisors (20996170272).

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

7466038272 is a wasteful number, since it uses less digits than its factorization.

7466038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7466038272 is about 86406.2397746829. The cubic root of 7466038272 is about 1954.4747792287.

The spelling of 7466038272 in words is "seven billion, four hundred sixty-six million, thirty-eight thousand, two hundred seventy-two".