90764643960 has 160 divisors (see below), whose sum is σ = 306669369600. Its totient is φ = 24077018880.

The previous prime is 90764643947. The next prime is 90764643973. The reversal of 90764643960 is 6934646709.

90764643960 is a `hidden beast` number, since 90 + 7 + 6 + 464 + 3 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90764643947) and next prime (90764643973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90764643897 and 90764643906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545506 + ... + 692174.

It is an arithmetic number, because the mean of its divisors is an integer number (1916683560).

Almost surely, 2^90764643960 is an apocalyptic number.

90764643960 is a gapful number since it is divisible by the number (90) 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 90764643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153334684800).

90764643960 is an abundant number, since it is smaller than the sum of its proper divisors (215904725640).

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

90764643960 is a wasteful number, since it uses less digits than its factorization.

90764643960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146883 (or 146870 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 90764643960 in words is "ninety billion, seven hundred sixty-four million, six hundred forty-three thousand, nine hundred sixty".