1802456064 has 220 divisors, whose sum is σ = 5564040768. Its totient is φ = 580608000.

The previous prime is 1802456057. The next prime is 1802456081. The reversal of 1802456064 is 4606542081.

1802456064 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 45 + 606 + 4 = 666.

It is a super-4 number, since 4×1802456064⁴ (a number of 38 digits) contains 4444 as substring.

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

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, 2570914 + ... + 2571614.

Almost surely, 2^1802456064 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 1802456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782020384).

1802456064 is an abundant number, since it is smaller than the sum of its proper divisors (3761584704).

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

1802456064 is an equidigital number, since it uses as much as digits as its factorization.

1802456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1802456064 is about 42455.3419960315. The cubic root of 1802456064 is about 1216.9934171955.

It can be divided in two parts, 18024 and 56064, that added together give a cube (74088 = 42³).

The spelling of 1802456064 in words is "one billion, eight hundred two million, four hundred fifty-six thousand, sixty-four".