6456139776 has 336 divisors, whose sum is σ = 20520690480. Its totient is φ = 2005401600.

The previous prime is 6456139717. The next prime is 6456139787. The reversal of 6456139776 is 6779316546.

It is a happy number.

6456139776 is a `hidden beast` number, since 6 + 4 + 561 + 3 + 9 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63922126 + ... + 63922226.

Almost surely, 2^6456139776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260345240).

6456139776 is an abundant number, since it is smaller than the sum of its proper divisors (14064550704).

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

6456139776 is a wasteful number, since it uses less digits than its factorization.

6456139776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 123 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 6456139776 is about 80350.1075045952. The cubic root of 6456139776 is about 1862.0484403902.

The spelling of 6456139776 in words is "six billion, four hundred fifty-six million, one hundred thirty-nine thousand, seven hundred seventy-six".