6377613440451 has 64 divisors (see below), whose sum is σ = 9906369417216. Its totient is φ = 3612871987200.

The previous prime is 6377613440441. The next prime is 6377613440467. The reversal of 6377613440451 is 1540443167736.

It is a happy number.

It is not a de Polignac number, because 6377613440451 - 2¹¹ = 6377613438403 is a prime.

It is a super-3 number, since 3×6377613440451³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6377613440394 and 6377613440403.

It is not an unprimeable number, because it can be changed into a prime (6377613440431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4570651 + ... + 5800523.

It is an arithmetic number, because the mean of its divisors is an integer number (154787022144).

Almost surely, 2^{6377613440451} is an apocalyptic number.

6377613440451 is a deficient number, since it is larger than the sum of its proper divisors (3528755976765).

6377613440451 is a wasteful number, since it uses less digits than its factorization.

6377613440451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230092.

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 6377613440451 in words is "six trillion, three hundred seventy-seven billion, six hundred thirteen million, four hundred forty thousand, four hundred fifty-one".