46367013987840 has 2560 divisors, whose sum is σ = 195693842792448. Its totient is φ = 9103933440000.

The previous prime is 46367013987839. The next prime is 46367013987841. The reversal of 46367013987840 is 4878931076364.

It is an interprime number because it is at equal distance from previous prime (46367013987839) and next prime (46367013987841).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×46367013987840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46367013987841) 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, 66144099490 + ... + 66144100190.

Almost surely, 2^{46367013987840} is an apocalyptic number.

46367013987840 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 46367013987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97846921396224).

46367013987840 is an abundant number, since it is smaller than the sum of its proper divisors (149326828804608).

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

46367013987840 is a wasteful number, since it uses less digits than its factorization.

46367013987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 46367013987840 in words is "forty-six trillion, three hundred sixty-seven billion, thirteen million, nine hundred eighty-seven thousand, eight hundred forty".