6407261796 has 96 divisors (see below), whose sum is σ = 16447536000. Its totient is φ = 1929148416.

The previous prime is 6407261789. The next prime is 6407261803. The reversal of 6407261796 is 6971627046.

It is an interprime number because it is at equal distance from previous prime (6407261789) and next prime (6407261803).

It is a super-2 number, since 2×6407261796² = 82106007444962291232, which contains 22 as substring.

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, 4124956 + ... + 4126508.

It is an arithmetic number, because the mean of its divisors is an integer number (171328500).

Almost surely, 2^6407261796 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 6407261796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223768000).

6407261796 is an abundant number, since it is smaller than the sum of its proper divisors (10040274204).

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

6407261796 is a wasteful number, since it uses less digits than its factorization.

6407261796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 6407261796 is about 80045.3733578650. The cubic root of 6407261796 is about 1857.3374820059.

The spelling of 6407261796 in words is "six billion, four hundred seven million, two hundred sixty-one thousand, seven hundred ninety-six".