76642541430 has 512 divisors, whose sum is σ = 263363788800. Its totient is φ = 13787947008.

The previous prime is 76642541389. The next prime is 76642541431. The reversal of 76642541430 is 3414524667.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76642541431) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20279281 + ... + 20283059.

It is an arithmetic number, because the mean of its divisors is an integer number (514382400).

Almost surely, 2^76642541430 is an apocalyptic number.

76642541430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76642541430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131681894400).

76642541430 is an abundant number, since it is smaller than the sum of its proper divisors (186721247370).

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

76642541430 is a wasteful number, since it uses less digits than its factorization.

76642541430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 76642541430 in words is "seventy-six billion, six hundred forty-two million, five hundred forty-one thousand, four hundred thirty".