46689629976 has 384 divisors, whose sum is σ = 150418944000. Its totient is φ = 12935577600.

The previous prime is 46689629971. The next prime is 46689630019. The reversal of 46689629976 is 67992698664.

46689629976 is a `hidden beast` number, since 466 + 8 + 9 + 6 + 2 + 99 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689629971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50257480 + ... + 50258408.

It is an arithmetic number, because the mean of its divisors is an integer number (391716000).

Almost surely, 2^46689629976 is an apocalyptic number.

46689629976 is a gapful number since it is divisible by the number (46) 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 46689629976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472000).

46689629976 is an abundant number, since it is smaller than the sum of its proper divisors (103729314024).

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

46689629976 is a wasteful number, since it uses less digits than its factorization.

46689629976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 46689629976 in words is "forty-six billion, six hundred eighty-nine million, six hundred twenty-nine thousand, nine hundred seventy-six".