151676743680 has 624 divisors, whose sum is σ = 655540015104. Its totient is φ = 31514296320.

The previous prime is 151676743661. The next prime is 151676743739. The reversal of 151676743680 is 86347676151.

151676743680 is a `hidden beast` number, since 1 + 516 + 7 + 6 + 7 + 43 + 6 + 80 = 666.

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, 14187297 + ... + 14197983.

It is an arithmetic number, because the mean of its divisors is an integer number (1050544896).

Almost surely, 2^151676743680 is an apocalyptic number.

151676743680 is a gapful number since it is divisible by the number (10) 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 151676743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327770007552).

151676743680 is an abundant number, since it is smaller than the sum of its proper divisors (503863271424).

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

151676743680 is a wasteful number, since it uses less digits than its factorization.

151676743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 151676743680 in words is "one hundred fifty-one billion, six hundred seventy-six million, seven hundred forty-three thousand, six hundred eighty".