7405064110080 has 2880 divisors, whose sum is σ = 34373201640960. Its totient is φ = 1430979084288.

The previous prime is 7405064110009. The next prime is 7405064110153. The reversal of 7405064110080 is 800114605047.

It is a happy number.

7405064110080 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 0 + 641 + 1 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47166013362 + ... + 47166013518.

Almost surely, 2^{7405064110080} is an apocalyptic number.

7405064110080 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 7405064110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186600820480).

7405064110080 is an abundant number, since it is smaller than the sum of its proper divisors (26968137530880).

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

7405064110080 is a wasteful number, since it uses less digits than its factorization.

7405064110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 7405064110080 in words is "seven trillion, four hundred five billion, sixty-four million, one hundred ten thousand, eighty".