2476468380672 has 2112 divisors, whose sum is σ = 9501342099200. Its totient is φ = 638522818560.

The previous prime is 2476468380619. The next prime is 2476468380703. The reversal of 2476468380672 is 2760838646742.

It is a happy number.

2476468380672 is a `hidden beast` number, since 2 + 4 + 76 + 468 + 38 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-5 number, since 5×2476468380672⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66931577838 + ... + 66931577874.

Almost surely, 2^{2476468380672} is an apocalyptic number.

2476468380672 is a gapful number since it is divisible by the number (22) 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 2476468380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750671049600).

2476468380672 is an abundant number, since it is smaller than the sum of its proper divisors (7024873718528).

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

2476468380672 is a wasteful number, since it uses less digits than its factorization.

2476468380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 2476468380672 in words is "two trillion, four hundred seventy-six billion, four hundred sixty-eight million, three hundred eighty thousand, six hundred seventy-two".