20400082668 has 288 divisors, whose sum is σ = 63175956480. Its totient is φ = 5425136640.

The previous prime is 20400082657. The next prime is 20400082723. The reversal of 20400082668 is 86628000402.

It is a super-2 number, since 2×20400082668² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36624646 + ... + 36625202.

It is an arithmetic number, because the mean of its divisors is an integer number (219360960).

Almost surely, 2^20400082668 is an apocalyptic number.

20400082668 is a gapful number since it is divisible by the number (28) 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 20400082668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587978240).

20400082668 is an abundant number, since it is smaller than the sum of its proper divisors (42775873812).

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

20400082668 is a wasteful number, since it uses less digits than its factorization.

20400082668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20400082668 in words is "twenty billion, four hundred million, eighty-two thousand, six hundred sixty-eight".