1472753664 has 260 divisors, whose sum is σ = 4614612816. Its totient is φ = 467140608.

The previous prime is 1472753647. The next prime is 1472753677. The reversal of 1472753664 is 4663572741.

1472753664 is a `hidden beast` number, since 14 + 7 + 275 + 366 + 4 = 666.

Its product of digits (846720) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7630752 + ... + 7630944.

Almost surely, 2^1472753664 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 1472753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307306408).

1472753664 is an abundant number, since it is smaller than the sum of its proper divisors (3141859152).

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

1472753664 is an equidigital number, since it uses as much as digits as its factorization.

1472753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 1472753664 is about 38376.4727925848. The cubic root of 1472753664 is about 1137.7409001358.

The spelling of 1472753664 in words is "one billion, four hundred seventy-two million, seven hundred fifty-three thousand, six hundred sixty-four".