76353863040 has 1536 divisors, whose sum is σ = 346733936640. Its totient is φ = 15049359360.

The previous prime is 76353862993. The next prime is 76353863051. The reversal of 76353863040 is 4036835367.

76353863040 is a `hidden beast` number, since 7 + 6 + 3 + 5 + 3 + 8 + 630 + 4 + 0 = 666.

It is a super-2 number, since 2×76353863040² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 601211457 + ... + 601211583.

It is an arithmetic number, because the mean of its divisors is an integer number (225738240).

Almost surely, 2^76353863040 is an apocalyptic number.

76353863040 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 76353863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173366968320).

76353863040 is an abundant number, since it is smaller than the sum of its proper divisors (270380073600).

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

76353863040 is a wasteful number, since it uses less digits than its factorization.

76353863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 76353863040 in words is "seventy-six billion, three hundred fifty-three million, eight hundred sixty-three thousand, forty".