76281367680 has 640 divisors, whose sum is σ = 321421224960. Its totient is φ = 16870809600.

The previous prime is 76281367639. The next prime is 76281367697. The reversal of 76281367680 is 8676318267.

76281367680 is a `hidden beast` number, since 7 + 628 + 1 + 3 + 6 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11245890 + ... + 11252670.

It is an arithmetic number, because the mean of its divisors is an integer number (502220664).

Almost surely, 2^76281367680 is an apocalyptic number.

76281367680 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 76281367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160710612480).

76281367680 is an abundant number, since it is smaller than the sum of its proper divisors (245139857280).

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

76281367680 is a wasteful number, since it uses less digits than its factorization.

76281367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 76281367680 in words is "seventy-six billion, two hundred eighty-one million, three hundred sixty-seven thousand, six hundred eighty".