76487643540 has 576 divisors, whose sum is σ = 303164080128. Its totient is φ = 15145574400.

The previous prime is 76487643539. The next prime is 76487643541. The reversal of 76487643540 is 4534678467.

76487643540 is a `hidden beast` number, since 76 + 487 + 6 + 43 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76487643539) and next prime (76487643541).

It is a super-2 number, since 2×76487643540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76487643541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28785892 + ... + 28788548.

It is an arithmetic number, because the mean of its divisors is an integer number (526326528).

Almost surely, 2^76487643540 is an apocalyptic number.

76487643540 is a gapful number since it is divisible by the number (70) 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 76487643540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151582040064).

76487643540 is an abundant number, since it is smaller than the sum of its proper divisors (226676436588).

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

76487643540 is a wasteful number, since it uses less digits than its factorization.

76487643540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

It can be divided in two parts, 76487 and 643540, that added together give a palindrome (720027).

The spelling of 76487643540 in words is "seventy-six billion, four hundred eighty-seven million, six hundred forty-three thousand, five hundred forty".