20749670670456 has 1536 divisors, whose sum is σ = 83078618112000. Its totient is φ = 4721736499200.

The previous prime is 20749670670403. The next prime is 20749670670497. The reversal of 20749670670456 is 65407607694702.

It is a happy number.

20749670670456 is a `hidden beast` number, since 2 + 0 + 7 + 49 + 6 + 70 + 6 + 70 + 456 = 666.

It is a super-3 number, since 3×20749670670456³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20749670670393 and 20749670670402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1377701166 + ... + 1377716226.

It is an arithmetic number, because the mean of its divisors is an integer number (54087642000).

Almost surely, 2^{20749670670456} is an apocalyptic number.

20749670670456 is a gapful number since it is divisible by the number (26) 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 20749670670456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41539309056000).

20749670670456 is an abundant number, since it is smaller than the sum of its proper divisors (62328947441544).

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

20749670670456 is a wasteful number, since it uses less digits than its factorization.

20749670670456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 20749670670456 in words is "twenty trillion, seven hundred forty-nine billion, six hundred seventy million, six hundred seventy thousand, four hundred fifty-six".