6407084736 has 336 divisors, whose sum is σ = 20464211040. Its totient is φ = 1915729920.

The previous prime is 6407084731. The next prime is 6407084737. The reversal of 6407084736 is 6374807046.

It is a junction number, because it is equal to n+sod(n) for n = 6407084691 and 6407084700.

It is not an unprimeable number, because it can be changed into a prime (6407084731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77193751 + ... + 77193833.

It is an arithmetic number, because the mean of its divisors is an integer number (60905390).

Almost surely, 2^6407084736 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 6407084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232105520).

6407084736 is an abundant number, since it is smaller than the sum of its proper divisors (14057126304).

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

6407084736 is a wasteful number, since it uses less digits than its factorization.

6407084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6407084736 is about 80044.2673525094. The cubic root of 6407084736 is about 1857.3203731267.

The spelling of 6407084736 in words is "six billion, four hundred seven million, eighty-four thousand, seven hundred thirty-six".