7546400772 has 48 divisors (see below), whose sum is σ = 18543483840. Its totient is φ = 2381985792.

The previous prime is 7546400761. The next prime is 7546400777. The reversal of 7546400772 is 2770046457.

It is a super-2 number, since 2×7546400772² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7546400777) 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 15 ways as a sum of consecutive naturals, for example, 599568 + ... + 612024.

It is an arithmetic number, because the mean of its divisors is an integer number (386322580).

Almost surely, 2^7546400772 is an apocalyptic number.

It is an amenable number.

7546400772 is an abundant number, since it is smaller than the sum of its proper divisors (10997083068).

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

7546400772 is a wasteful number, since it uses less digits than its factorization.

7546400772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 7546400772 is about 86870.0222861719. The cubic root of 7546400772 is about 1961.4622549908.

The spelling of 7546400772 in words is "seven billion, five hundred forty-six million, four hundred thousand, seven hundred seventy-two".