36625827456 has 128 divisors (see below), whose sum is σ = 108204782400. Its totient is φ = 12196445184.

The previous prime is 36625827449. The next prime is 36625827457. The reversal of 36625827456 is 65472852663.

36625827456 is a `hidden beast` number, since 3 + 6 + 6 + 2 + 582 + 7 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (36625827457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876370 + ... + 3885806.

Almost surely, 2^36625827456 is an apocalyptic number.

36625827456 is a gapful number since it is divisible by the number (36) 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 36625827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102391200).

36625827456 is an abundant number, since it is smaller than the sum of its proper divisors (71578954944).

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

36625827456 is a wasteful number, since it uses less digits than its factorization.

36625827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10583 (or 10565 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 36625827456 in words is "thirty-six billion, six hundred twenty-five million, eight hundred twenty-seven thousand, four hundred fifty-six".