76914541440 has 1280 divisors, whose sum is σ = 327013632000. Its totient is φ = 17020108800.

The previous prime is 76914541427. The next prime is 76914541441. The reversal of 76914541440 is 4414541967.

76914541440 is a `hidden beast` number, since 7 + 69 + 1 + 4 + 541 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76914541441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 335871246 + ... + 335871474.

It is an arithmetic number, because the mean of its divisors is an integer number (255479400).

Almost surely, 2^76914541440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76914541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163506816000).

76914541440 is an abundant number, since it is smaller than the sum of its proper divisors (250099090560).

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

76914541440 is a wasteful number, since it uses less digits than its factorization.

76914541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76914541440 in words is "seventy-six billion, nine hundred fourteen million, five hundred forty-one thousand, four hundred forty".