754200006820 has 48 divisors (see below), whose sum is σ = 1724817008880. Its totient is φ = 275344920576.

The previous prime is 754200006809. The next prime is 754200006821. The reversal of 754200006820 is 28600002457.

754200006820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 227231449344 + 526968557476 = 476688^2 + 725926^2 .

It is not an unprimeable number, because it can be changed into a prime (754200006821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16273317 + ... + 16319596.

It is an arithmetic number, because the mean of its divisors is an integer number (35933687685).

Almost surely, 2^754200006820 is an apocalyptic number.

It is an amenable number.

754200006820 is an abundant number, since it is smaller than the sum of its proper divisors (970617002060).

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

754200006820 is a wasteful number, since it uses less digits than its factorization.

754200006820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32593024 (or 32593022 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 754200006820 in words is "seven hundred fifty-four billion, two hundred million, six thousand, eight hundred twenty".