7023117104640 has 1920 divisors, whose sum is σ = 31389350952960. Its totient is φ = 1465377619968.

The previous prime is 7023117104567. The next prime is 7023117104657. The reversal of 7023117104640 is 464017113207.

7023117104640 is a `hidden beast` number, since 7 + 0 + 2 + 3 + 1 + 1 + 7 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 7023117104595 and 7023117104604.

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, 5491099521 + ... + 5491100799.

It is an arithmetic number, because the mean of its divisors is an integer number (16348620288).

Almost surely, 2^{7023117104640} is an apocalyptic number.

7023117104640 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 7023117104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694675476480).

7023117104640 is an abundant number, since it is smaller than the sum of its proper divisors (24366233848320).

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

7023117104640 is a wasteful number, since it uses less digits than its factorization.

7023117104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 7023117104640 in words is "seven trillion, twenty-three billion, one hundred seventeen million, one hundred four thousand, six hundred forty".