76541741640 has 1536 divisors, whose sum is σ = 342345830400. Its totient is φ = 15049359360.

The previous prime is 76541741593. The next prime is 76541741651. The reversal of 76541741640 is 4614714567.

76541741640 is a `hidden beast` number, since 7 + 6 + 541 + 7 + 41 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 789090072 + ... + 789090168.

It is an arithmetic number, because the mean of its divisors is an integer number (222881400).

Almost surely, 2^76541741640 is an apocalyptic number.

76541741640 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 76541741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171172915200).

76541741640 is an abundant number, since it is smaller than the sum of its proper divisors (265804088760).

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

76541741640 is a wasteful number, since it uses less digits than its factorization.

76541741640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 76541741640 in words is "seventy-six billion, five hundred forty-one million, seven hundred forty-one thousand, six hundred forty".