1540748736 has 224 divisors, whose sum is σ = 4716840960. Its totient is φ = 492825600.

The previous prime is 1540748719. The next prime is 1540748749. The reversal of 1540748736 is 6378470451.

1540748736 is a `hidden beast` number, since 1 + 540 + 74 + 8 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1540748691 and 1540748700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4954021 + ... + 4954331.

Almost surely, 2^1540748736 is an apocalyptic number.

1540748736 is a gapful number since it is divisible by the number (16) 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 1540748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358420480).

1540748736 is an abundant number, since it is smaller than the sum of its proper divisors (3176092224).

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

1540748736 is a wasteful number, since it uses less digits than its factorization.

1540748736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1540748736 is about 39252.3723614255. The cubic root of 1540748736 is about 1154.9874716131.

The spelling of 1540748736 in words is "one billion, five hundred forty million, seven hundred forty-eight thousand, seven hundred thirty-six".