1004564477952 has 960 divisors, whose sum is σ = 3571749941760. Its totient is φ = 275331612672.

The previous prime is 1004564477947. The next prime is 1004564477963. The reversal of 1004564477952 is 2597744654001.

1004564477952 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 564 + 4 + 7 + 79 + 5 + 2 = 666.

It is a super-2 number, since 2×1004564477952² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4425394063 + ... + 4425394289.

It is an arithmetic number, because the mean of its divisors is an integer number (3720572856).

Almost surely, 2^{1004564477952} is an apocalyptic number.

1004564477952 is a gapful number since it is divisible by the number (12) 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 1004564477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785874970880).

1004564477952 is an abundant number, since it is smaller than the sum of its proper divisors (2567185463808).

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

1004564477952 is a wasteful number, since it uses less digits than its factorization.

1004564477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1004564477952 in words is "one trillion, four billion, five hundred sixty-four million, four hundred seventy-seven thousand, nine hundred fifty-two".