7168374720 has 448 divisors, whose sum is σ = 28675584000. Its totient is φ = 1671155712.

The previous prime is 7168374673. The next prime is 7168374721. The reversal of 7168374720 is 274738617.

It is a super-2 number, since 2×7168374720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168374721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2132401 + ... + 2135759.

It is an arithmetic number, because the mean of its divisors is an integer number (64008000).

Almost surely, 2^7168374720 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 7168374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792000).

7168374720 is an abundant number, since it is smaller than the sum of its proper divisors (21507209280).

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

7168374720 is a wasteful number, since it uses less digits than its factorization.

7168374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7168374720 is about 84666.2549071352. The cubic root of 7168374720 is about 1928.1474092856.

The spelling of 7168374720 in words is "seven billion, one hundred sixty-eight million, three hundred seventy-four thousand, seven hundred twenty".