46761036630000 has 1200 divisors, whose sum is σ = 195177064046976. Its totient is φ = 9533072640000.

The previous prime is 46761036629971. The next prime is 46761036630037. The reversal of 46761036630000 is 3663016764.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 856982719 + ... + 857037281.

Almost surely, 2^{46761036630000} is an apocalyptic number.

46761036630000 is a gapful number since it is divisible by the number (40) 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 46761036630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97588532023488).

46761036630000 is an abundant number, since it is smaller than the sum of its proper divisors (148416027416976).

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

46761036630000 is a wasteful number, since it uses less digits than its factorization.

46761036630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54672 (or 54644 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

Adding to 46761036630000 its reverse (3663016764), we get a palindrome (46764699646764).

The spelling of 46761036630000 in words is "forty-six trillion, seven hundred sixty-one billion, thirty-six million, six hundred thirty thousand".