2007076518720 has 1792 divisors, whose sum is σ = 9053291520000. Its totient is φ = 415822159872.

The previous prime is 2007076518709. The next prime is 2007076518781. The reversal of 2007076518720 is 278156707002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2273019399 + ... + 2273020281.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060000).

Almost surely, 2^{2007076518720} is an apocalyptic number.

2007076518720 is a gapful number since it is divisible by the number (20) 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 2007076518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526645760000).

2007076518720 is an abundant number, since it is smaller than the sum of its proper divisors (7046215001280).

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

2007076518720 is a wasteful number, since it uses less digits than its factorization.

2007076518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 2007076518720 in words is "two trillion, seven billion, seventy-six million, five hundred eighteen thousand, seven hundred twenty".