1007646721920 has 1024 divisors, whose sum is σ = 3835683072000. Its totient is φ = 249433620480.

The previous prime is 1007646721909. The next prime is 1007646721937. The reversal of 1007646721920 is 291276467001.

1007646721920 is a `hidden beast` number, since 10 + 0 + 76 + 467 + 21 + 92 + 0 = 666.

It is a super-2 number, since 2×1007646721920² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2157701527 + ... + 2157701993.

It is an arithmetic number, because the mean of its divisors is an integer number (3745784250).

Almost surely, 2^{1007646721920} is an apocalyptic number.

1007646721920 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 1007646721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917841536000).

1007646721920 is an abundant number, since it is smaller than the sum of its proper divisors (2828036350080).

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

1007646721920 is a wasteful number, since it uses less digits than its factorization.

1007646721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1007646721920 in words is "one trillion, seven billion, six hundred forty-six million, seven hundred twenty-one thousand, nine hundred twenty".