84436736400 has 405 divisors, whose sum is σ = 305299523971. Its totient is φ = 21609853440.

The previous prime is 84436736323. The next prime is 84436736407. The reversal of 84436736400 is 463763448.

The square root of 84436736400 is 290580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1160628624 + 83276107776 = 34068^2 + 288576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84436736407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 505609117 + ... + 505609283.

Almost surely, 2^84436736400 is an apocalyptic number.

84436736400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84436736400 is the 290580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84436736400

84436736400 is an abundant number, since it is smaller than the sum of its proper divisors (220862787571).

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

84436736400 is a wasteful number, since it uses less digits than its factorization.

84436736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 84436 and 736400, that added together give a square (820836 = 906²).

The spelling of 84436736400 in words is "eighty-four billion, four hundred thirty-six million, seven hundred thirty-six thousand, four hundred".