76335629040 has 640 divisors, whose sum is σ = 310248714240. Its totient is φ = 17042227200.

The previous prime is 76335629009. The next prime is 76335629093. The reversal of 76335629040 is 4092653367.

76335629040 is a `hidden beast` number, since 7 + 6 + 3 + 356 + 290 + 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 127 ways as a sum of consecutive naturals, for example, 18982230 + ... + 18986250.

It is an arithmetic number, because the mean of its divisors is an integer number (484763616).

Almost surely, 2^76335629040 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 76335629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155124357120).

76335629040 is an abundant number, since it is smaller than the sum of its proper divisors (233913085200).

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

76335629040 is a wasteful number, since it uses less digits than its factorization.

76335629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 76335629040 in words is "seventy-six billion, three hundred thirty-five million, six hundred twenty-nine thousand, forty".