76311644640 has 384 divisors, whose sum is σ = 300234719232. Its totient is φ = 15828510720.

The previous prime is 76311644621. The next prime is 76311644653. The reversal of 76311644640 is 4644611367.

It is a super-3 number, since 3×76311644640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76311644592 and 76311644601.

It is a congruent number.

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, 25242169 + ... + 25245191.

It is an arithmetic number, because the mean of its divisors is an integer number (781861248).

Almost surely, 2^76311644640 is an apocalyptic number.

76311644640 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 76311644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150117359616).

76311644640 is an abundant number, since it is smaller than the sum of its proper divisors (223923074592).

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

76311644640 is a wasteful number, since it uses less digits than its factorization.

76311644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 76311644640 in words is "seventy-six billion, three hundred eleven million, six hundred forty-four thousand, six hundred forty".