7433112960 has 1024 divisors, whose sum is σ = 33723648000. Its totient is φ = 1504935936.

The previous prime is 7433112959. The next prime is 7433112991. The reversal of 7433112960 is 692113347.

It is a super-2 number, since 2×7433112960² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45601839 + ... + 45602001.

It is an arithmetic number, because the mean of its divisors is an integer number (32933250).

Almost surely, 2^7433112960 is an apocalyptic number.

7433112960 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 7433112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861824000).

7433112960 is an abundant number, since it is smaller than the sum of its proper divisors (26290535040).

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

7433112960 is a wasteful number, since it uses less digits than its factorization.

7433112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7433112960 is about 86215.5030142491. The cubic root of 7433112960 is about 1951.5974602174.

The spelling of 7433112960 in words is "seven billion, four hundred thirty-three million, one hundred twelve thousand, nine hundred sixty".