7641411600 has 240 divisors, whose sum is σ = 26235945792. Its totient is φ = 1894318080.

The previous prime is 7641411577. The next prime is 7641411607. The reversal of 7641411600 is 61141467.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7641411600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7641411607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690944 + ... + 1695456.

Almost surely, 2^7641411600 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 7641411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117972896).

7641411600 is an abundant number, since it is smaller than the sum of its proper divisors (18594534192).

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

7641411600 is a wasteful number, since it uses less digits than its factorization.

7641411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7641411600 is about 87415.1680202012. The cubic root of 7641411600 is about 1969.6596936803.

The spelling of 7641411600 in words is "seven billion, six hundred forty-one million, four hundred eleven thousand, six hundred".