6461801640 has 96 divisors (see below), whose sum is σ = 24000986880. Its totient is φ = 1476982656.

The previous prime is 6461801617. The next prime is 6461801683. The reversal of 6461801640 is 461081646.

6461801640 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 8 + 0 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6461801595 and 6461801604.

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, 1279584 + ... + 1284623.

It is an arithmetic number, because the mean of its divisors is an integer number (250010280).

Almost surely, 2^6461801640 is an apocalyptic number.

6461801640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6461801640 is an abundant number, since it is smaller than the sum of its proper divisors (17539185240).

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

6461801640 is a wasteful number, since it uses less digits than its factorization.

6461801640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564231 (or 2564224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6461801640 is about 80385.3322441352. The cubic root of 6461801640 is about 1862.5926037767.

The spelling of 6461801640 in words is "six billion, four hundred sixty-one million, eight hundred one thousand, six hundred forty".