340010764560 has 800 divisors, whose sum is σ = 1265881478400. Its totient is φ = 84395520000.

The previous prime is 340010764559. The next prime is 340010764607. The reversal of 340010764560 is 65467010043.

It is a happy number.

340010764560 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 0 + 7 + 645 + 6 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1354624435 + ... + 1354624685.

It is an arithmetic number, because the mean of its divisors is an integer number (1582351848).

Almost surely, 2^340010764560 is an apocalyptic number.

340010764560 is a gapful number since it is divisible by the number (30) 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 340010764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632940739200).

340010764560 is an abundant number, since it is smaller than the sum of its proper divisors (925870713840).

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

340010764560 is a wasteful number, since it uses less digits than its factorization.

340010764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 340010764560 in words is "three hundred forty billion, ten million, seven hundred sixty-four thousand, five hundred sixty".