90378341736480 has 384 divisors, whose sum is σ = 363907513589760. Its totient is φ = 20521098316800.

The previous prime is 90378341736451. The next prime is 90378341736619. The reversal of 90378341736480 is 8463714387309.

90378341736480 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 83 + 4 + 1 + 73 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5330124 + ... + 14462603.

It is an arithmetic number, because the mean of its divisors is an integer number (947675816640).

Almost surely, 2^{90378341736480} is an apocalyptic number.

90378341736480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90378341736480 is an abundant number, since it is smaller than the sum of its proper divisors (273529171853280).

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

90378341736480 is a wasteful number, since it uses less digits than its factorization.

90378341736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19792909 (or 19792895 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 90378341736480 in words is "ninety trillion, three hundred seventy-eight billion, three hundred forty-one million, seven hundred thirty-six thousand, four hundred eighty".