76283367213600 has 540 divisors, whose sum is σ = 288114378245694. Its totient is φ = 19640760975360.

The previous prime is 76283367213569. The next prime is 76283367213607. The reversal of 76283367213600 is 631276338267.

76283367213600 is a `hidden beast` number, since 7 + 6 + 2 + 8 + 3 + 3 + 6 + 7 + 21 + 3 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 799729564176 + 75483637649424 = 894276^2 + 8688132^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×76283367213600² (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 not an unprimeable number, because it can be changed into a prime (76283367213607) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 53796912 + ... + 55196688.

Almost surely, 2^{76283367213600} 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 76283367213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144057189122847).

76283367213600 is an abundant number, since it is smaller than the sum of its proper divisors (211831011032094).

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

76283367213600 is a wasteful number, since it uses less digits than its factorization.

76283367213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399867 (or 1399816 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 76283367213600 in words is "seventy-six trillion, two hundred eighty-three billion, three hundred sixty-seven million, two hundred thirteen thousand, six hundred".