1007605449060 has 384 divisors, whose sum is σ = 3515987865600. Its totient is φ = 210468741120.

The previous prime is 1007605449031. The next prime is 1007605449061. The reversal of 1007605449060 is 609445067001.

1007605449060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1007605449061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29101719 + ... + 29136321.

It is an arithmetic number, because the mean of its divisors is an integer number (9156218400).

Almost surely, 2^{1007605449060} is an apocalyptic number.

1007605449060 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 1007605449060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757993932800).

1007605449060 is an abundant number, since it is smaller than the sum of its proper divisors (2508382416540).

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

1007605449060 is a wasteful number, since it uses less digits than its factorization.

1007605449060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34771 (or 34769 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1007605449060 in words is "one trillion, seven billion, six hundred five million, four hundred forty-nine thousand, sixty".