7631111040 has 384 divisors, whose sum is σ = 29281629600. Its totient is φ = 1683505152.

The previous prime is 7631110979. The next prime is 7631111077. The reversal of 7631111040 is 401111367.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×7631111040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7631111040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2726922 + ... + 2729718.

Almost surely, 2^7631111040 is an apocalyptic number.

7631111040 is a gapful number since it is divisible by the number (70) 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 7631111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640814800).

7631111040 is an abundant number, since it is smaller than the sum of its proper divisors (21650518560).

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

7631111040 is a wasteful number, since it uses less digits than its factorization.

7631111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 7631111040 is about 87356.2306879137. The cubic root of 7631111040 is about 1968.7742673552.

The spelling of 7631111040 in words is "seven billion, six hundred thirty-one million, one hundred eleven thousand, forty".