37201342464 has 312 divisors, whose sum is σ = 126261578352. Its totient is φ = 10404495360.

The previous prime is 37201342447. The next prime is 37201342469. The reversal of 37201342464 is 46424310273.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×37201342464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37201342469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5268024 + ... + 5275080.

It is an arithmetic number, because the mean of its divisors is an integer number (404684546).

Almost surely, 2^37201342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37201342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63130789176).

37201342464 is an abundant number, since it is smaller than the sum of its proper divisors (89060235888).

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

37201342464 is a wasteful number, since it uses less digits than its factorization.

37201342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 37201342464 in words is "thirty-seven billion, two hundred one million, three hundred forty-two thousand, four hundred sixty-four".