1542635640 has 576 divisors, whose sum is σ = 6506136000. Its totient is φ = 314979840.

The previous prime is 1542635639. The next prime is 1542635651. The reversal of 1542635640 is 465362451.

1542635640 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 6 + 3 + 5 + 640 = 666.

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 = 1542635595 and 1542635604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49762425 + ... + 49762455.

It is an arithmetic number, because the mean of its divisors is an integer number (11295375).

Almost surely, 2^1542635640 is an apocalyptic number.

1542635640 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 1542635640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253068000).

1542635640 is an abundant number, since it is smaller than the sum of its proper divisors (4963500360).

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

1542635640 is a wasteful number, since it uses less digits than its factorization.

1542635640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1542635640 is about 39276.4005479117. The cubic root of 1542635640 is about 1155.4587709182.

The spelling of 1542635640 in words is "one billion, five hundred forty-two million, six hundred thirty-five thousand, six hundred forty".