7278066432000 has 5760 divisors, whose sum is σ = 37009908936000. Its totient is φ = 1404606873600.

The previous prime is 7278066431963. The next prime is 7278066432053. The reversal of 7278066432000 is 2346608727.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 250967807986 + ... + 250967808014.

Almost surely, 2^{7278066432000} is an apocalyptic number.

7278066432000 is a gapful number since it is divisible by the number (70) 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 7278066432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18504954468000).

7278066432000 is an abundant number, since it is smaller than the sum of its proper divisors (29731842504000).

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

7278066432000 is a wasteful number, since it uses less digits than its factorization.

7278066432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 7278066432000 in words is "seven trillion, two hundred seventy-eight billion, sixty-six million, four hundred thirty-two thousand".