46079202960 has 480 divisors, whose sum is σ = 182118343680. Its totient is φ = 10223649792.

The previous prime is 46079202943. The next prime is 46079202973. The reversal of 46079202960 is 6920297064.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24679947 + ... + 24681813.

It is an arithmetic number, because the mean of its divisors is an integer number (379413216).

Almost surely, 2^46079202960 is an apocalyptic number.

46079202960 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 46079202960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91059171840).

46079202960 is an abundant number, since it is smaller than the sum of its proper divisors (136039140720).

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

46079202960 is a wasteful number, since it uses less digits than its factorization.

46079202960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46079202960 in words is "forty-six billion, seventy-nine million, two hundred two thousand, nine hundred sixty".