90766690560000 has 7680 divisors, whose sum is σ = 458493235200000. Its totient is φ = 17557585920000.

The previous prime is 90766690559999. The next prime is 90766690560037. The reversal of 90766690560000 is 6509666709.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×90766690560000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2927957759985 + ... + 2927957760015.

It is an arithmetic number, because the mean of its divisors is an integer number (59699640000).

Almost surely, 2^{90766690560000} is an apocalyptic number.

90766690560000 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 90766690560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229246617600000).

90766690560000 is an abundant number, since it is smaller than the sum of its proper divisors (367726544640000).

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

90766690560000 is a wasteful number, since it uses less digits than its factorization.

90766690560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 90766690560000 in words is "ninety trillion, seven hundred sixty-six billion, six hundred ninety million, five hundred sixty thousand".