1004674667520 has 528 divisors, whose sum is σ = 3407382486720. Its totient is φ = 252620439552.

The previous prime is 1004674667483. The next prime is 1004674667531. The reversal of 1004674667520 is 257664764001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1004674667520.

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, 2267888419 + ... + 2267888861.

Almost surely, 2^{1004674667520} is an apocalyptic number.

1004674667520 is a gapful number since it is divisible by the number (10) 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 1004674667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703691243360).

1004674667520 is an abundant number, since it is smaller than the sum of its proper divisors (2402707819200).

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

1004674667520 is a wasteful number, since it uses less digits than its factorization.

1004674667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 1004674667520 in words is "one trillion, four billion, six hundred seventy-four million, six hundred sixty-seven thousand, five hundred twenty".