20764719360 has 1512 divisors, whose sum is σ = 98764739136. Its totient is φ = 4060938240.

The previous prime is 20764719341. The next prime is 20764719407. The reversal of 20764719360 is 6391746702.

20764719360 is a `hidden beast` number, since 20 + 76 + 471 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 167 ways as a sum of consecutive naturals, for example, 1221454072 + ... + 1221454088.

Almost surely, 2^20764719360 is an apocalyptic number.

20764719360 is a gapful number since it is divisible by the number (20) 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 20764719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49382369568).

20764719360 is an abundant number, since it is smaller than the sum of its proper divisors (78000019776).

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

20764719360 is an equidigital number, since it uses as much as digits as its factorization.

20764719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20764719360 in words is "twenty billion, seven hundred sixty-four million, seven hundred nineteen thousand, three hundred sixty".