7366248898560 has 896 divisors, whose sum is σ = 26972090449920. Its totient is φ = 1906252185600.

The previous prime is 7366248898523. The next prime is 7366248898583. The reversal of 7366248898560 is 658988426637.

7366248898560 is a `hidden beast` number, since 7 + 3 + 6 + 6 + 2 + 488 + 9 + 85 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9082920555 + ... + 9082921365.

It is an arithmetic number, because the mean of its divisors is an integer number (30102779520).

Almost surely, 2^{7366248898560} 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 7366248898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486045224960).

7366248898560 is an abundant number, since it is smaller than the sum of its proper divisors (19605841551360).

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

7366248898560 is a wasteful number, since it uses less digits than its factorization.

7366248898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 7366248898560 in words is "seven trillion, three hundred sixty-six billion, two hundred forty-eight million, eight hundred ninety-eight thousand, five hundred sixty".