1007276021620 has 144 divisors (see below), whose sum is σ = 2421546551424. Its totient is φ = 351360979200.

The previous prime is 1007276021581. The next prime is 1007276021623. The reversal of 1007276021620 is 261206727001.

1007276021620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007276021620² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007276021623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278119 + ... + 6436561.

It is an arithmetic number, because the mean of its divisors is an integer number (16816295496).

Almost surely, 2^{1007276021620} is an apocalyptic number.

1007276021620 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 1007276021620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210773275712).

1007276021620 is an abundant number, since it is smaller than the sum of its proper divisors (1414270529804).

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

1007276021620 is a wasteful number, since it uses less digits than its factorization.

1007276021620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158582 (or 158569 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 1007276021620 in words is "one trillion, seven billion, two hundred seventy-six million, twenty-one thousand, six hundred twenty".