45778867136640 has 1536 divisors, whose sum is σ = 184769802846720. Its totient is φ = 10332241920000.

The previous prime is 45778867136603. The next prime is 45778867136657. The reversal of 45778867136640 is 4663176887754.

45778867136640 is a `hidden beast` number, since 4 + 57 + 78 + 86 + 71 + 366 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41883683934 + ... + 41883685026.

It is an arithmetic number, because the mean of its divisors is an integer number (120292840395).

Almost surely, 2^{45778867136640} is an apocalyptic number.

45778867136640 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 45778867136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92384901423360).

45778867136640 is an abundant number, since it is smaller than the sum of its proper divisors (138990935710080).

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

45778867136640 is a wasteful number, since it uses less digits than its factorization.

45778867136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 45778867136640 in words is "forty-five trillion, seven hundred seventy-eight billion, eight hundred sixty-seven million, one hundred thirty-six thousand, six hundred forty".