7461793737216 has 1920 divisors, whose sum is σ = 28531011041280. Its totient is φ = 1907506298880.

The previous prime is 7461793737179. The next prime is 7461793737217. The reversal of 7461793737216 is 6127373971647.

7461793737216 is a `hidden beast` number, since 7 + 4 + 617 + 9 + 3 + 7 + 3 + 7 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7461793737217) 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, 56960257471 + ... + 56960257601.

It is an arithmetic number, because the mean of its divisors is an integer number (14859901584).

Almost surely, 2^{7461793737216} 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 7461793737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265505520640).

7461793737216 is an abundant number, since it is smaller than the sum of its proper divisors (21069217304064).

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

7461793737216 is an equidigital number, since it uses as much as digits as its factorization.

7461793737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 199 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 63.

The spelling of 7461793737216 in words is "seven trillion, four hundred sixty-one billion, seven hundred ninety-three million, seven hundred thirty-seven thousand, two hundred sixteen".