6261079680 has 384 divisors, whose sum is σ = 22668871680. Its totient is φ = 1651249152.

The previous prime is 6261079673. The next prime is 6261079697. The reversal of 6261079680 is 869701626.

6261079680 is a `hidden beast` number, since 626 + 10 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6261079680² = 78402237518617804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19750882 + ... + 19751198.

It is an arithmetic number, because the mean of its divisors is an integer number (59033520).

Almost surely, 2^6261079680 is an apocalyptic number.

6261079680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6261079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11334435840).

6261079680 is an abundant number, since it is smaller than the sum of its proper divisors (16407792000).

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

6261079680 is a wasteful number, since it uses less digits than its factorization.

6261079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6261079680 is about 79126.9845248762. The cubic root of 6261079680 is about 1843.1035838238.

The spelling of 6261079680 in words is "six billion, two hundred sixty-one million, seventy-nine thousand, six hundred eighty".