84070379520 has 416 divisors, whose sum is σ = 302731496640. Its totient is φ = 22406823936.

The previous prime is 84070379483. The next prime is 84070379521. The reversal of 84070379520 is 2597307048.

It is a super-7 number, since 7×84070379520⁷ (a number of 78 digits) contains 7777777 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84070379521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44788822 + ... + 44790698.

Almost surely, 2^84070379520 is an apocalyptic number.

84070379520 is a gapful number since it is divisible by the number (80) 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 84070379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151365748320).

84070379520 is an abundant number, since it is smaller than the sum of its proper divisors (218661117120).

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

84070379520 is an frugal number, since it uses more digits than its factorization.

84070379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 84070379520 in words is "eighty-four billion, seventy million, three hundred seventy-nine thousand, five hundred twenty".