640541014245000 has 480 divisors, whose sum is σ = 2467698226044480. Its totient is φ = 148531247040000.

The previous prime is 640541014244983. The next prime is 640541014245101. The reversal of 640541014245000 is 542410145046.

640541014245000 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 4 + 1 + 0 + 142 + 4 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16745919 + ... + 39515918.

It is an arithmetic number, because the mean of its divisors is an integer number (5141037970926).

Almost surely, 2^{640541014245000} is an apocalyptic number.

640541014245000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640541014245000 is an abundant number, since it is smaller than the sum of its proper divisors (1827157211799480).

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

640541014245000 is a wasteful number, since it uses less digits than its factorization.

640541014245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56261903 (or 56261881 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 640541014245000 in words is "six hundred forty trillion, five hundred forty-one billion, fourteen million, two hundred forty-five thousand".