1864649766528 has 640 divisors, whose sum is σ = 6017406278400. Its totient is φ = 571039580160.

The previous prime is 1864649766527. The next prime is 1864649766541. The reversal of 1864649766528 is 8256679464681.

It is a happy number.

1864649766528 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 6 + 4 + 97 + 6 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1864649766523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1364044501 + ... + 1364045867.

It is an arithmetic number, because the mean of its divisors is an integer number (9402197310).

Almost surely, 2^{1864649766528} is an apocalyptic number.

1864649766528 is a gapful number since it is divisible by the number (18) 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 1864649766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008703139200).

1864649766528 is an abundant number, since it is smaller than the sum of its proper divisors (4152756511872).

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

1864649766528 is a wasteful number, since it uses less digits than its factorization.

1864649766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1569 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 1864649766528 in words is "one trillion, eight hundred sixty-four billion, six hundred forty-nine million, seven hundred sixty-six thousand, five hundred twenty-eight".