6542501400 has 72 divisors (see below), whose sum is σ = 21971906580. Its totient is φ = 1744666560.

The previous prime is 6542501377. The next prime is 6542501417. The reversal of 6542501400 is 41052456.

6542501400 is a `hidden beast` number, since 6 + 5 + 4 + 250 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1815562 + ... + 1819161.

Almost surely, 2^6542501400 is an apocalyptic number.

6542501400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6542501400 is an abundant number, since it is smaller than the sum of its proper divisors (15429405180).

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

6542501400 is a wasteful number, since it uses less digits than its factorization.

6542501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634745 (or 3634733 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 6542501400 is about 80885.7305091572. The cubic root of 6542501400 is about 1870.3143589637.

Adding to 6542501400 its reverse (41052456), we get a palindrome (6583553856).

The spelling of 6542501400 in words is "six billion, five hundred forty-two million, five hundred one thousand, four hundred".