76238137440 has 384 divisors, whose sum is σ = 283093211520. Its totient is φ = 19096141824.

The previous prime is 76238137433. The next prime is 76238137453. The reversal of 76238137440 is 4473183267.

76238137440 is a `hidden beast` number, since 7 + 6 + 238 + 1 + 374 + 40 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62643712 + ... + 62644928.

It is an arithmetic number, because the mean of its divisors is an integer number (737221905).

Almost surely, 2^76238137440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76238137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141546605760).

76238137440 is an abundant number, since it is smaller than the sum of its proper divisors (206855074080).

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

76238137440 is a wasteful number, since it uses less digits than its factorization.

76238137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 76238137440 in words is "seventy-six billion, two hundred thirty-eight million, one hundred thirty-seven thousand, four hundred forty".