42645699654624 has 288 divisors, whose sum is σ = 137275030410336. Its totient is φ = 12444041871360.

The previous prime is 42645699654611. The next prime is 42645699654643.

42645699654624 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 56 + 9 + 9 + 6 + 546 + 24 = 666.

42645699654624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9494584 + ... + 13245320.

It is an arithmetic number, because the mean of its divisors is an integer number (476649411147).

Almost surely, 2^{42645699654624} is an apocalyptic number.

42645699654624 is a gapful number since it is divisible by the number (44) 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 42645699654624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68637515205168).

42645699654624 is an abundant number, since it is smaller than the sum of its proper divisors (94629330755712).

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

42645699654624 is a wasteful number, since it uses less digits than its factorization.

42645699654624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750898 (or 3750887 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 72.

The spelling of 42645699654624 in words is "forty-two trillion, six hundred forty-five billion, six hundred ninety-nine million, six hundred fifty-four thousand, six hundred twenty-four".