764122145040 has 120 divisors (see below), whose sum is σ = 2566477967040. Its totient is φ = 203741997312.

The previous prime is 764122145027. The next prime is 764122145053. The reversal of 764122145040 is 40541221467.

764122145040 is a `hidden beast` number, since 7 + 641 + 2 + 2 + 1 + 4 + 5 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (764122145027) and next prime (764122145053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 764122144986 and 764122145004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6568501 + ... + 6683819.

It is an arithmetic number, because the mean of its divisors is an integer number (21387316392).

Almost surely, 2^764122145040 is an apocalyptic number.

It is an amenable number.

764122145040 is an abundant number, since it is smaller than the sum of its proper divisors (1802355822000).

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

764122145040 is a wasteful number, since it uses less digits than its factorization.

764122145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124541 (or 124532 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 764122145040 in words is "seven hundred sixty-four billion, one hundred twenty-two million, one hundred forty-five thousand, forty".