7347779712 has 1152 divisors, whose sum is σ = 30474662400. Its totient is φ = 1672151040.

The previous prime is 7347779711. The next prime is 7347779737. The reversal of 7347779712 is 2179777437.

It is a happy number.

7347779712 is a `hidden beast` number, since 73 + 477 + 7 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (7347779711) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237025137 + ... + 237025167.

It is an arithmetic number, because the mean of its divisors is an integer number (26453700).

Almost surely, 2^7347779712 is an apocalyptic number.

7347779712 is a gapful number since it is divisible by the number (72) 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 7347779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237331200).

7347779712 is an abundant number, since it is smaller than the sum of its proper divisors (23126882688).

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

7347779712 is a wasteful number, since it uses less digits than its factorization.

7347779712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its digits is 3630312, while the sum is 54.

The square root of 7347779712 is about 85719.1910367801. The cubic root of 7347779712 is about 1944.1004876166.

The spelling of 7347779712 in words is "seven billion, three hundred forty-seven million, seven hundred seventy-nine thousand, seven hundred twelve".