1362536640 has 140 divisors (see below), whose sum is σ = 4846874736. Its totient is φ = 363336192.

The previous prime is 1362536557. The next prime is 1362536653. The reversal of 1362536640 is 466352631.

1362536640 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 5 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1362536595 and 1362536604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364 + ... + 52203.

Almost surely, 2^1362536640 is an apocalyptic number.

1362536640 is a gapful number since it is divisible by the number (10) 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 1362536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423437368).

1362536640 is an abundant number, since it is smaller than the sum of its proper divisors (3484338096).

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

1362536640 is an equidigital number, since it uses as much as digits as its factorization.

1362536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52596 (or 52577 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1362536640 is about 36912.5539620330. The cubic root of 1362536640 is about 1108.6200528804.

The spelling of 1362536640 in words is "one billion, three hundred sixty-two million, five hundred thirty-six thousand, six hundred forty".