83497236480 has 960 divisors, whose sum is σ = 348479651520. Its totient is φ = 18728091648.

The previous prime is 83497236457. The next prime is 83497236527. The reversal of 83497236480 is 8463279438.

83497236480 is a `hidden beast` number, since 83 + 497 + 2 + 36 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 423843742 + ... + 423843938.

It is an arithmetic number, because the mean of its divisors is an integer number (362999637).

Almost surely, 2^83497236480 is an apocalyptic number.

83497236480 is a gapful number since it is divisible by the number (80) 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 83497236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174239825760).

83497236480 is an abundant number, since it is smaller than the sum of its proper divisors (264982415040).

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

83497236480 is a wasteful number, since it uses less digits than its factorization.

83497236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 83497236480 in words is "eighty-three billion, four hundred ninety-seven million, two hundred thirty-six thousand, four hundred eighty".