7407078912000 has 832 divisors, whose sum is σ = 27608571494400. Its totient is φ = 1959203635200.

The previous prime is 7407078911983. The next prime is 7407078912001. The reversal of 7407078912000 is 2198707047.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7407078912001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1755645891 + ... + 1755650109.

It is an arithmetic number, because the mean of its divisors is an integer number (33183379200).

Almost surely, 2^{7407078912000} 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 7407078912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804285747200).

7407078912000 is an abundant number, since it is smaller than the sum of its proper divisors (20201492582400).

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

7407078912000 is a wasteful number, since it uses less digits than its factorization.

7407078912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 7407078912000 in words is "seven trillion, four hundred seven billion, seventy-eight million, nine hundred twelve thousand".