7954042060800 has 1296 divisors, whose sum is σ = 32165071928640. Its totient is φ = 1925657395200.

The previous prime is 7954042060759. The next prime is 7954042060823. The reversal of 7954042060800 is 80602404597.

It is a happy number.

7954042060800 is a `hidden beast` number, since 7 + 9 + 540 + 4 + 20 + 6 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10705305229 + ... + 10705305971.

It is an arithmetic number, because the mean of its divisors is an integer number (24818728340).

Almost surely, 2^{7954042060800} 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 7954042060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082535964320).

7954042060800 is an abundant number, since it is smaller than the sum of its proper divisors (24211029867840).

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

7954042060800 is an equidigital number, since it uses as much as digits as its factorization.

7954042060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 7954042060800 in words is "seven trillion, nine hundred fifty-four billion, forty-two million, sixty thousand, eight hundred".