90763089408 has 360 divisors, whose sum is σ = 279066747960. Its totient is φ = 29471662080.

The previous prime is 90763089407. The next prime is 90763089409. The reversal of 90763089408 is 80498036709.

90763089408 is a `hidden beast` number, since 90 + 76 + 3 + 0 + 89 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (90763089407) and next prime (90763089409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90763089407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137728183 + ... + 137728841.

It is an arithmetic number, because the mean of its divisors is an integer number (775185411).

Almost surely, 2^90763089408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90763089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139533373980).

90763089408 is an abundant number, since it is smaller than the sum of its proper divisors (188303658552).

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

90763089408 is an frugal number, since it uses more digits than its factorization.

90763089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 90763089408 in words is "ninety billion, seven hundred sixty-three million, eighty-nine thousand, four hundred eight".