5462828794080 has 1728 divisors, whose sum is σ = 23820265123200. Its totient is φ = 1135607316480.

The previous prime is 5462828793991. The next prime is 5462828794117. The reversal of 5462828794080 is 804978282645.

5462828794080 is a `hidden beast` number, since 5 + 462 + 8 + 2 + 8 + 7 + 94 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5462828793999 and 5462828794017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8069170702 + ... + 8069171378.

It is an arithmetic number, because the mean of its divisors is an integer number (13784875650).

Almost surely, 2^{5462828794080} 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 5462828794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910132561600).

5462828794080 is an abundant number, since it is smaller than the sum of its proper divisors (18357436329120).

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

5462828794080 is a wasteful number, since it uses less digits than its factorization.

5462828794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 5462828794080 in words is "five trillion, four hundred sixty-two billion, eight hundred twenty-eight million, seven hundred ninety-four thousand, eighty".