7401333672 has 48 divisors (see below), whose sum is σ = 20299032000. Its totient is φ = 2435880096.

The previous prime is 7401333659. The next prime is 7401333733. The reversal of 7401333672 is 2763331047.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644922 + ... + 656297.

It is an arithmetic number, because the mean of its divisors is an integer number (422896500).

Almost surely, 2^7401333672 is an apocalyptic number.

7401333672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7401333672 is an abundant number, since it is smaller than the sum of its proper divisors (12897698328).

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

7401333672 is a wasteful number, since it uses less digits than its factorization.

7401333672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301310 (or 1301303 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 7401333672 is about 86031.0041322313. The cubic root of 7401333672 is about 1948.8122218186.

The spelling of 7401333672 in words is "seven billion, four hundred one million, three hundred thirty-three thousand, six hundred seventy-two".