7546676040 has 384 divisors, whose sum is σ = 27243216000. Its totient is φ = 1872211968.

The previous prime is 7546676009. The next prime is 7546676047. The reversal of 7546676040 is 406766457.

It is a happy number.

7546676040 is a `hidden beast` number, since 7 + 546 + 6 + 7 + 60 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7546676047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18010951 + ... + 18011369.

It is an arithmetic number, because the mean of its divisors is an integer number (70945875).

Almost surely, 2^7546676040 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 7546676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621608000).

7546676040 is an abundant number, since it is smaller than the sum of its proper divisors (19696539960).

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

7546676040 is a wasteful number, since it uses less digits than its factorization.

7546676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7546676040 is about 86871.6066387632. The cubic root of 7546676040 is about 1961.4861039418.

The spelling of 7546676040 in words is "seven billion, five hundred forty-six million, six hundred seventy-six thousand, forty".