1007804574990 has 192 divisors, whose sum is σ = 2814917676480. Its totient is φ = 259244789760.

The previous prime is 1007804574989. The next prime is 1007804575061. The reversal of 1007804574990 is 994754087001.

1007804574990 is a `hidden beast` number, since 100 + 7 + 8 + 0 + 45 + 7 + 499 + 0 = 666.

It is a super-2 number, since 2×1007804574990² (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 95 ways as a sum of consecutive naturals, for example, 8810242 + ... + 8923898.

It is an arithmetic number, because the mean of its divisors is an integer number (14661029565).

Almost surely, 2^{1007804574990} is an apocalyptic number.

1007804574990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007804574990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407458838240).

1007804574990 is an abundant number, since it is smaller than the sum of its proper divisors (1807113101490).

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

1007804574990 is a wasteful number, since it uses less digits than its factorization.

1007804574990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113809 (or 113797 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1007804574990 in words is "one trillion, seven billion, eight hundred four million, five hundred seventy-four thousand, nine hundred ninety".