6407306045100 has 144 divisors (see below), whose sum is σ = 21493880970240. Its totient is φ = 1634327323200.

The previous prime is 6407306045059. The next prime is 6407306045137. The reversal of 6407306045100 is 15406037046.

It is a happy number.

6407306045100 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 30 + 604 + 5 + 10 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51526516 + ... + 51650715.

Almost surely, 2^{6407306045100} is an apocalyptic number.

6407306045100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6407306045100 is an abundant number, since it is smaller than the sum of its proper divisors (15086574925140).

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

6407306045100 is a wasteful number, since it uses less digits than its factorization.

6407306045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103177277 (or 103177264 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 6407306045100 in words is "six trillion, four hundred seven billion, three hundred six million, forty-five thousand, one hundred".