91840029830640 has 2560 divisors, whose sum is σ = 447945729638400. Its totient is φ = 16719838248960.

The previous prime is 91840029830639. The next prime is 91840029830651. The reversal of 91840029830640 is 4603892004819.

91840029830640 is a `hidden beast` number, since 9 + 1 + 8 + 4 + 0 + 0 + 298 + 306 + 40 = 666.

91840029830640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 511 ways as a sum of consecutive naturals, for example, 1968131949 + ... + 1968178611.

It is an arithmetic number, because the mean of its divisors is an integer number (174978800640).

Almost surely, 2^{91840029830640} is an apocalyptic number.

91840029830640 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 91840029830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223972864819200).

91840029830640 is an abundant number, since it is smaller than the sum of its proper divisors (356105699807760).

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

91840029830640 is a wasteful number, since it uses less digits than its factorization.

91840029830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46772 (or 46760 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 91840029830640 in words is "ninety-one trillion, eight hundred forty billion, twenty-nine million, eight hundred thirty thousand, six hundred forty".