6151034320704 has 224 divisors, whose sum is σ = 22255879735040. Its totient is φ = 1622250768384.

The previous prime is 6151034320621. The next prime is 6151034320793. The reversal of 6151034320704 is 4070234301516.

6151034320704 is a `hidden beast` number, since 6 + 151 + 0 + 3 + 432 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19401139 + ... + 19715634.

It is an arithmetic number, because the mean of its divisors is an integer number (99356605960).

Almost surely, 2^{6151034320704} is an apocalyptic number.

6151034320704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6151034320704 is an abundant number, since it is smaller than the sum of its proper divisors (16104845414336).

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

6151034320704 is a wasteful number, since it uses less digits than its factorization.

6151034320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39116814 (or 39116798 counting only the distinct ones).

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

The spelling of 6151034320704 in words is "six trillion, one hundred fifty-one billion, thirty-four million, three hundred twenty thousand, seven hundred four".