1035666621864 has 256 divisors, whose sum is σ = 3486136320000. Its totient is φ = 278106283008.

The previous prime is 1035666621841. The next prime is 1035666621877. The reversal of 1035666621864 is 4681266665301.

It is a super-3 number, since 3×1035666621864³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1035666621864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18453157 + ... + 18509195.

It is an arithmetic number, because the mean of its divisors is an integer number (13617720000).

Almost surely, 2^{1035666621864} is an apocalyptic number.

1035666621864 is a gapful number since it is divisible by the number (14) 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 1035666621864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743068160000).

1035666621864 is an abundant number, since it is smaller than the sum of its proper divisors (2450469698136).

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

1035666621864 is a wasteful number, since it uses less digits than its factorization.

1035666621864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56797 (or 56787 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1035666621864 in words is "one trillion, thirty-five billion, six hundred sixty-six million, six hundred twenty-one thousand, eight hundred sixty-four".