7280406491904 has 432 divisors, whose sum is σ = 26000005175872. Its totient is φ = 1907868598272.

The previous prime is 7280406491903. The next prime is 7280406491933. The reversal of 7280406491904 is 4091946040827.

7280406491904 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 406 + 49 + 190 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (7280406491903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32806662 + ... + 33027834.

Almost surely, 2^{7280406491904} 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 7280406491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000002587936).

7280406491904 is an abundant number, since it is smaller than the sum of its proper divisors (18719598683968).

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

7280406491904 is a wasteful number, since it uses less digits than its factorization.

7280406491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221372 (or 221355 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7280406491904 in words is "seven trillion, two hundred eighty billion, four hundred six million, four hundred ninety-one thousand, nine hundred four".