1536756480 has 864 divisors, whose sum is σ = 6887462400. Its totient is φ = 307888128.

The previous prime is 1536756479. The next prime is 1536756491. The reversal of 1536756480 is 846576351.

1536756480 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 7 + 564 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26046691 + ... + 26046749.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^1536756480 is an apocalyptic number.

1536756480 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 1536756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443731200).

1536756480 is an abundant number, since it is smaller than the sum of its proper divisors (5350705920).

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

1536756480 is a wasteful number, since it uses less digits than its factorization.

1536756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1536756480 is about 39201.4856861318. The cubic root of 1536756480 is about 1153.9890406023.

The spelling of 1536756480 in words is "one billion, five hundred thirty-six million, seven hundred fifty-six thousand, four hundred eighty".