7464804480 has 384 divisors, whose sum is σ = 30554858880. Its totient is φ = 1705992192.

The previous prime is 7464804463. The next prime is 7464804509. The reversal of 7464804480 is 844084647.

7464804480 is a `hidden beast` number, since 74 + 64 + 80 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085212 + ... + 1092068.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 2^7464804480 is an apocalyptic number.

7464804480 is a gapful number since it is divisible by the number (70) 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 7464804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277429440).

7464804480 is an abundant number, since it is smaller than the sum of its proper divisors (23090054400).

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

7464804480 is an equidigital number, since it uses as much as digits as its factorization.

7464804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7464804480 is about 86399.0999953125. The cubic root of 7464804480 is about 1954.3671117660.

The spelling of 7464804480 in words is "seven billion, four hundred sixty-four million, eight hundred four thousand, four hundred eighty".