8748199649280 has 1344 divisors, whose sum is σ = 35571161743488. Its totient is φ = 1819300331520.

The previous prime is 8748199649269. The next prime is 8748199649323. The reversal of 8748199649280 is 829469918478.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 5714042115 + ... + 5714043645.

It is an arithmetic number, because the mean of its divisors is an integer number (26466638202).

Almost surely, 2^{8748199649280} is an apocalyptic number.

8748199649280 is a gapful number since it is divisible by the number (80) 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 8748199649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785580871744).

8748199649280 is an abundant number, since it is smaller than the sum of its proper divisors (26822962094208).

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

8748199649280 is a wasteful number, since it uses less digits than its factorization.

8748199649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 8748199649280 in words is "eight trillion, seven hundred forty-eight billion, one hundred ninety-nine million, six hundred forty-nine thousand, two hundred eighty".