7474116162240 has 1344 divisors, whose sum is σ = 33700291881984. Its totient is φ = 1534282186752.

The previous prime is 7474116162197. The next prime is 7474116162241. The reversal of 7474116162240 is 422616114747.

7474116162240 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 1 + 1 + 616 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (7474116162241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261803647 + ... + 261832193.

It is an arithmetic number, because the mean of its divisors is an integer number (25074621936).

Almost surely, 2^{7474116162240} is an apocalyptic number.

7474116162240 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 7474116162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850145940992).

7474116162240 is an abundant number, since it is smaller than the sum of its proper divisors (26226175719744).

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

7474116162240 is a wasteful number, since it uses less digits than its factorization.

7474116162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28636 (or 28614 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 7474116162240 in words is "seven trillion, four hundred seventy-four billion, one hundred sixteen million, one hundred sixty-two thousand, two hundred forty".