7541786016 has 96 divisors (see below), whose sum is σ = 22027420800. Its totient is φ = 2510438400.

The previous prime is 7541785981. The next prime is 7541786117. The reversal of 7541786016 is 6106871457.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7541786016² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658741 + ... + 670091.

It is an arithmetic number, because the mean of its divisors is an integer number (229452300).

Almost surely, 2^7541786016 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 7541786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013710400).

7541786016 is an abundant number, since it is smaller than the sum of its proper divisors (14485634784).

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

7541786016 is a wasteful number, since it uses less digits than its factorization.

7541786016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7541786016 is about 86843.4569556049. The cubic root of 7541786016 is about 1961.0623506437.

The spelling of 7541786016 in words is "seven billion, five hundred forty-one million, seven hundred eighty-six thousand, sixteen".