7548980274864 has 480 divisors, whose sum is σ = 25592761958400. Its totient is φ = 2153242828800.

The previous prime is 7548980274839. The next prime is 7548980274883. The reversal of 7548980274864 is 4684720898457.

7548980274864 is a `hidden beast` number, since 7 + 5 + 48 + 9 + 80 + 27 + 486 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7548980274792 and 7548980274801.

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, 854822929 + ... + 854831759.

It is an arithmetic number, because the mean of its divisors is an integer number (53318254080).

Almost surely, 2^{7548980274864} 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 7548980274864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796380979200).

7548980274864 is an abundant number, since it is smaller than the sum of its proper divisors (18043781683536).

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

7548980274864 is an equidigital number, since it uses as much as digits as its factorization.

7548980274864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 7548980274864 in words is "seven trillion, five hundred forty-eight billion, nine hundred eighty million, two hundred seventy-four thousand, eight hundred sixty-four".