7484679936 has 216 divisors, whose sum is σ = 22677607680. Its totient is φ = 2461694976.

The previous prime is 7484679911. The next prime is 7484679949. The reversal of 7484679936 is 6399764847.

7484679936 is a `hidden beast` number, since 7 + 484 + 67 + 9 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×7484679936³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4913671 + ... + 4915193.

Almost surely, 2^7484679936 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 7484679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338803840).

7484679936 is an abundant number, since it is smaller than the sum of its proper divisors (15192927744).

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

7484679936 is an equidigital number, since it uses as much as digits as its factorization.

7484679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1607 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 7484679936 is about 86514.0447326329. The cubic root of 7484679936 is about 1956.1001115534.

The spelling of 7484679936 in words is "seven billion, four hundred eighty-four million, six hundred seventy-nine thousand, nine hundred thirty-six".