76287410640 has 480 divisors, whose sum is σ = 299909376000. Its totient is φ = 17018035200.

The previous prime is 76287410627. The next prime is 76287410651. The reversal of 76287410640 is 4601478267.

76287410640 is a `hidden beast` number, since 7 + 628 + 7 + 4 + 10 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44900511 + ... + 44902209.

It is an arithmetic number, because the mean of its divisors is an integer number (624811200).

Almost surely, 2^76287410640 is an apocalyptic number.

76287410640 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 76287410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688000).

76287410640 is an abundant number, since it is smaller than the sum of its proper divisors (223621965360).

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

76287410640 is a wasteful number, since it uses less digits than its factorization.

76287410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 76287410640 in words is "seventy-six billion, two hundred eighty-seven million, four hundred ten thousand, six hundred forty".