76542943680 has 448 divisors, whose sum is σ = 310989634560. Its totient is φ = 17360179200.

The previous prime is 76542943657. The next prime is 76542943691. The reversal of 76542943680 is 8634924567.

76542943680 is a `hidden beast` number, since 7 + 6 + 542 + 94 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7918050 + ... + 7927710.

Almost surely, 2^76542943680 is an apocalyptic number.

76542943680 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 76542943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155494817280).

76542943680 is an abundant number, since it is smaller than the sum of its proper divisors (234446690880).

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

76542943680 is a wasteful number, since it uses less digits than its factorization.

76542943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 76542943680 in words is "seventy-six billion, five hundred forty-two million, nine hundred forty-three thousand, six hundred eighty".