1537604640 has 768 divisors, whose sum is σ = 6706022400. Its totient is φ = 323481600.

The previous prime is 1537604633. The next prime is 1537604657. The reversal of 1537604640 is 464067351.

It is a happy number.

1537604640 is a `hidden beast` number, since 1 + 5 + 3 + 7 + 6 + 0 + 4 + 640 = 666.

1537604640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1537604595 and 1537604604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11737375 + ... + 11737505.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^1537604640 is an apocalyptic number.

1537604640 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 1537604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353011200).

1537604640 is an abundant number, since it is smaller than the sum of its proper divisors (5168417760).

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

1537604640 is a wasteful number, since it uses less digits than its factorization.

1537604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1537604640 is about 39212.3021512382. The cubic root of 1537604640 is about 1154.2013031060.

The spelling of 1537604640 in words is "one billion, five hundred thirty-seven million, six hundred four thousand, six hundred forty".