1010076561984 has 448 divisors, whose sum is σ = 3268770785280. Its totient is φ = 268707594240.

The previous prime is 1010076561971. The next prime is 1010076561997. The reversal of 1010076561984 is 4891656700101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010076561971) and next prime (1010076561997).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1010076561984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768960419 + ... + 1768960989.

It is an arithmetic number, because the mean of its divisors is an integer number (7296363360).

Almost surely, 2^{1010076561984} is an apocalyptic number.

1010076561984 is a gapful number since it is divisible by the number (14) 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 1010076561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634385392640).

1010076561984 is an abundant number, since it is smaller than the sum of its proper divisors (2258694223296).

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

1010076561984 is a wasteful number, since it uses less digits than its factorization.

1010076561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1010076561984 in words is "one trillion, ten billion, seventy-six million, five hundred sixty-one thousand, nine hundred eighty-four".