7208016480 has 576 divisors, whose sum is σ = 29244354048. Its totient is φ = 1582571520.

The previous prime is 7208016463. The next prime is 7208016499. The reversal of 7208016480 is 846108027.

7208016480 is a `hidden beast` number, since 7 + 2 + 0 + 8 + 0 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44220879 + ... + 44221041.

It is an arithmetic number, because the mean of its divisors is an integer number (50771448).

Almost surely, 2^7208016480 is an apocalyptic number.

7208016480 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 7208016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622177024).

7208016480 is an abundant number, since it is smaller than the sum of its proper divisors (22036337568).

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

7208016480 is a wasteful number, since it uses less digits than its factorization.

7208016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7208016480 is about 84900.0381625356. The cubic root of 7208016480 is about 1931.6951539899.

The spelling of 7208016480 in words is "seven billion, two hundred eight million, sixteen thousand, four hundred eighty".