1553664480 has 96 divisors (see below), whose sum is σ = 4900531104. Its totient is φ = 413761536.

The previous prime is 1553664457. The next prime is 1553664487. The reversal of 1553664480 is 844663551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553664487) 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, 467304 + ... + 470616.

It is an arithmetic number, because the mean of its divisors is an integer number (51047199).

Almost surely, 2^1553664480 is an apocalyptic number.

1553664480 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 1553664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450265552).

1553664480 is an abundant number, since it is smaller than the sum of its proper divisors (3346866624).

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

1553664480 is a wasteful number, since it uses less digits than its factorization.

1553664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 1553664480 is about 39416.5508384486. The cubic root of 1553664480 is about 1158.2058272546.

The spelling of 1553664480 in words is "one billion, five hundred fifty-three million, six hundred sixty-four thousand, four hundred eighty".