7478392868280 has 320 divisors, whose sum is σ = 26619867267840. Its totient is φ = 1876536004608.

The previous prime is 7478392868267. The next prime is 7478392868281. The reversal of 7478392868280 is 828682938747.

7478392868280 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 392 + 86 + 82 + 80 = 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 = 7478392868199 and 7478392868208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478392868281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333057534 + ... + 333079986.

It is an arithmetic number, because the mean of its divisors is an integer number (83187085212).

Almost surely, 2^{7478392868280} 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 7478392868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309933633920).

7478392868280 is an abundant number, since it is smaller than the sum of its proper divisors (19141474399560).

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

7478392868280 is a wasteful number, since it uses less digits than its factorization.

7478392868280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28540 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 7478392868280 in words is "seven trillion, four hundred seventy-eight billion, three hundred ninety-two million, eight hundred sixty-eight thousand, two hundred eighty".