42783736164640 has 576 divisors, whose sum is σ = 108971203461120. Its totient is φ = 15854500085760.

The previous prime is 42783736164613. The next prime is 42783736164667. The reversal of 42783736164640 is 4646163738724.

It is an interprime number because it is at equal distance from previous prime (42783736164613) and next prime (42783736164667).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126954706552 + ... + 126954706888.

It is an arithmetic number, because the mean of its divisors is an integer number (189186117120).

Almost surely, 2^{42783736164640} is an apocalyptic number.

42783736164640 is a gapful number since it is divisible by the number (40) 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 42783736164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54485601730560).

42783736164640 is an abundant number, since it is smaller than the sum of its proper divisors (66187467296480).

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

42783736164640 is a wasteful number, since it uses less digits than its factorization.

42783736164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 61.

The spelling of 42783736164640 in words is "forty-two trillion, seven hundred eighty-three billion, seven hundred thirty-six million, one hundred sixty-four thousand, six hundred forty".